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Finding the Fourth Proportional to 5,487.69, 7,573.10 and 3,129.78

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Solution

The fourth proportional to 5,487.69, 7,573.10 and 3,129.78 is: 4,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.69 : 7,573.10 = 3,129.78 : x
  2. Step 2: Convert to fraction form
    5,487.69/7,573.10 = 3,129.78/x
  3. Step 3: Cross multiply
    5,487.69x = 7,573.10 × 3,129.78
  4. Step 4: Simplify right side
    5,487.69x = 23,702,121.27
  5. Step 5: Solve for x
    x = 23,702,121.27/5,487.69
  6. Step 6: Final answer
    x = 4,319.14

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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.