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Finding the Fourth Proportional to 5,502.90, 7,600.26 and 3,731.42

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Solution

The fourth proportional to 5,502.90, 7,600.26 and 3,731.42 is: 5,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.90 : 7,600.26 = 3,731.42 : x
  2. Step 2: Convert to fraction form
    5,502.90/7,600.26 = 3,731.42/x
  3. Step 3: Cross multiply
    5,502.90x = 7,600.26 × 3,731.42
  4. Step 4: Simplify right side
    5,502.90x = 28,359,762.17
  5. Step 5: Solve for x
    x = 28,359,762.17/5,502.90
  6. Step 6: Final answer
    x = 5,153.60

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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.