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Finding the Fourth Proportional to 3,959.96, 5,464.19 and 2,281.23

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Solution

The fourth proportional to 3,959.96, 5,464.19 and 2,281.23 is: 3,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.96 : 5,464.19 = 2,281.23 : x
  2. Step 2: Convert to fraction form
    3,959.96/5,464.19 = 2,281.23/x
  3. Step 3: Cross multiply
    3,959.96x = 5,464.19 × 2,281.23
  4. Step 4: Simplify right side
    3,959.96x = 12,465,079.86
  5. Step 5: Solve for x
    x = 12,465,079.86/3,959.96
  6. Step 6: Final answer
    x = 3,147.78

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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.