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Finding the Fourth Proportional to 3,743.14, 5,627.01 and 3,472.50

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Solution

The fourth proportional to 3,743.14, 5,627.01 and 3,472.50 is: 5,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.14 : 5,627.01 = 3,472.50 : x
  2. Step 2: Convert to fraction form
    3,743.14/5,627.01 = 3,472.50/x
  3. Step 3: Cross multiply
    3,743.14x = 5,627.01 × 3,472.50
  4. Step 4: Simplify right side
    3,743.14x = 19,539,792.23
  5. Step 5: Solve for x
    x = 19,539,792.23/3,743.14
  6. Step 6: Final answer
    x = 5,220.16

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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.