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Finding the Fourth Proportional to 3,959.87, 5,464.82 and 2,281.55

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Solution

The fourth proportional to 3,959.87, 5,464.82 and 2,281.55 is: 3,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.87 : 5,464.82 = 2,281.55 : x
  2. Step 2: Convert to fraction form
    3,959.87/5,464.82 = 2,281.55/x
  3. Step 3: Cross multiply
    3,959.87x = 5,464.82 × 2,281.55
  4. Step 4: Simplify right side
    3,959.87x = 12,468,221.34
  5. Step 5: Solve for x
    x = 12,468,221.34/3,959.87
  6. Step 6: Final answer
    x = 3,148.65

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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.