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Finding the Fourth Proportional to 5,627.31, 7,766.18 and 3,735.55

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Solution

The fourth proportional to 5,627.31, 7,766.18 and 3,735.55 is: 5,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.31 : 7,766.18 = 3,735.55 : x
  2. Step 2: Convert to fraction form
    5,627.31/7,766.18 = 3,735.55/x
  3. Step 3: Cross multiply
    5,627.31x = 7,766.18 × 3,735.55
  4. Step 4: Simplify right side
    5,627.31x = 29,010,953.70
  5. Step 5: Solve for x
    x = 29,010,953.70/5,627.31
  6. Step 6: Final answer
    x = 5,155.39

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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.