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Finding the Fourth Proportional to 3,863.60, 5,796.98 and 2,478.52

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Solution

The fourth proportional to 3,863.60, 5,796.98 and 2,478.52 is: 3,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.60 : 5,796.98 = 2,478.52 : x
  2. Step 2: Convert to fraction form
    3,863.60/5,796.98 = 2,478.52/x
  3. Step 3: Cross multiply
    3,863.60x = 5,796.98 × 2,478.52
  4. Step 4: Simplify right side
    3,863.60x = 14,367,930.87
  5. Step 5: Solve for x
    x = 14,367,930.87/3,863.60
  6. Step 6: Final answer
    x = 3,718.79

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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.