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Finding the Fourth Proportional to 5,403.68, 8,098.88 and 2,282.48

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Solution

The fourth proportional to 5,403.68, 8,098.88 and 2,282.48 is: 3,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.68 : 8,098.88 = 2,282.48 : x
  2. Step 2: Convert to fraction form
    5,403.68/8,098.88 = 2,282.48/x
  3. Step 3: Cross multiply
    5,403.68x = 8,098.88 × 2,282.48
  4. Step 4: Simplify right side
    5,403.68x = 18,485,531.62
  5. Step 5: Solve for x
    x = 18,485,531.62/5,403.68
  6. Step 6: Final answer
    x = 3,420.92

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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.