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Finding the Fourth Proportional to 5,902.26, 8,140.22 and 3,542.72

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Solution

The fourth proportional to 5,902.26, 8,140.22 and 3,542.72 is: 4,886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.26 : 8,140.22 = 3,542.72 : x
  2. Step 2: Convert to fraction form
    5,902.26/8,140.22 = 3,542.72/x
  3. Step 3: Cross multiply
    5,902.26x = 8,140.22 × 3,542.72
  4. Step 4: Simplify right side
    5,902.26x = 28,838,520.20
  5. Step 5: Solve for x
    x = 28,838,520.20/5,902.26
  6. Step 6: Final answer
    x = 4,886.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.