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Finding the Fourth Proportional to 5,468.64, 8,190.72 and 2,542.56

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Solution

The fourth proportional to 5,468.64, 8,190.72 and 2,542.56 is: 3,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.64 : 8,190.72 = 2,542.56 : x
  2. Step 2: Convert to fraction form
    5,468.64/8,190.72 = 2,542.56/x
  3. Step 3: Cross multiply
    5,468.64x = 8,190.72 × 2,542.56
  4. Step 4: Simplify right side
    5,468.64x = 20,825,397.04
  5. Step 5: Solve for x
    x = 20,825,397.04/5,468.64
  6. Step 6: Final answer
    x = 3,808.15

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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.