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Finding the Fourth Proportional to 5,489.72, 8,233.74 and 1,593.32

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Solution

The fourth proportional to 5,489.72, 8,233.74 and 1,593.32 is: 2,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.72 : 8,233.74 = 1,593.32 : x
  2. Step 2: Convert to fraction form
    5,489.72/8,233.74 = 1,593.32/x
  3. Step 3: Cross multiply
    5,489.72x = 8,233.74 × 1,593.32
  4. Step 4: Simplify right side
    5,489.72x = 13,118,982.62
  5. Step 5: Solve for x
    x = 13,118,982.62/5,489.72
  6. Step 6: Final answer
    x = 2,389.74

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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.