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Finding the Fourth Proportional to 5,615.74, 7,745.71 and 3,489.04

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Solution

The fourth proportional to 5,615.74, 7,745.71 and 3,489.04 is: 4,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.74 : 7,745.71 = 3,489.04 : x
  2. Step 2: Convert to fraction form
    5,615.74/7,745.71 = 3,489.04/x
  3. Step 3: Cross multiply
    5,615.74x = 7,745.71 × 3,489.04
  4. Step 4: Simplify right side
    5,615.74x = 27,025,092.02
  5. Step 5: Solve for x
    x = 27,025,092.02/5,615.74
  6. Step 6: Final answer
    x = 4,812.38

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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.