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Finding the Fourth Proportional to 5,489.50, 8,234.25 and 1,593.94

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Solution

The fourth proportional to 5,489.50, 8,234.25 and 1,593.94 is: 2,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.50 : 8,234.25 = 1,593.94 : x
  2. Step 2: Convert to fraction form
    5,489.50/8,234.25 = 1,593.94/x
  3. Step 3: Cross multiply
    5,489.50x = 8,234.25 × 1,593.94
  4. Step 4: Simplify right side
    5,489.50x = 13,124,900.45
  5. Step 5: Solve for x
    x = 13,124,900.45/5,489.50
  6. Step 6: Final answer
    x = 2,390.91

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.