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Finding the Fourth Proportional to 5,414.52, 8,116.74 and 1,902.60

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Solution

The fourth proportional to 5,414.52, 8,116.74 and 1,902.60 is: 2,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.52 : 8,116.74 = 1,902.60 : x
  2. Step 2: Convert to fraction form
    5,414.52/8,116.74 = 1,902.60/x
  3. Step 3: Cross multiply
    5,414.52x = 8,116.74 × 1,902.60
  4. Step 4: Simplify right side
    5,414.52x = 15,442,909.52
  5. Step 5: Solve for x
    x = 15,442,909.52/5,414.52
  6. Step 6: Final answer
    x = 2,852.13

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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.