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Finding the Fourth Proportional to 3,627.42, 5,440.13 and 3,042.71

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Solution

The fourth proportional to 3,627.42, 5,440.13 and 3,042.71 is: 4,563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.42 : 5,440.13 = 3,042.71 : x
  2. Step 2: Convert to fraction form
    3,627.42/5,440.13 = 3,042.71/x
  3. Step 3: Cross multiply
    3,627.42x = 5,440.13 × 3,042.71
  4. Step 4: Simplify right side
    3,627.42x = 16,552,757.95
  5. Step 5: Solve for x
    x = 16,552,757.95/3,627.42
  6. Step 6: Final answer
    x = 4,563.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.