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Finding the Fourth Proportional to 5,497.70, 7,587.99 and 3,507.80

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Solution

The fourth proportional to 5,497.70, 7,587.99 and 3,507.80 is: 4,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.70 : 7,587.99 = 3,507.80 : x
  2. Step 2: Convert to fraction form
    5,497.70/7,587.99 = 3,507.80/x
  3. Step 3: Cross multiply
    5,497.70x = 7,587.99 × 3,507.80
  4. Step 4: Simplify right side
    5,497.70x = 26,617,113.38
  5. Step 5: Solve for x
    x = 26,617,113.38/5,497.70
  6. Step 6: Final answer
    x = 4,841.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.