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Finding the Fourth Proportional to 5,463.52, 7,540.31 and 3,106.02

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Solution

The fourth proportional to 5,463.52, 7,540.31 and 3,106.02 is: 4,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.52 : 7,540.31 = 3,106.02 : x
  2. Step 2: Convert to fraction form
    5,463.52/7,540.31 = 3,106.02/x
  3. Step 3: Cross multiply
    5,463.52x = 7,540.31 × 3,106.02
  4. Step 4: Simplify right side
    5,463.52x = 23,420,353.67
  5. Step 5: Solve for x
    x = 23,420,353.67/5,463.52
  6. Step 6: Final answer
    x = 4,286.68

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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.