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Finding the Fourth Proportional to 3,959.26, 5,462.78 and 2,281.16

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Solution

The fourth proportional to 3,959.26, 5,462.78 and 2,281.16 is: 3,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.26 : 5,462.78 = 2,281.16 : x
  2. Step 2: Convert to fraction form
    3,959.26/5,462.78 = 2,281.16/x
  3. Step 3: Cross multiply
    3,959.26x = 5,462.78 × 2,281.16
  4. Step 4: Simplify right side
    3,959.26x = 12,461,475.22
  5. Step 5: Solve for x
    x = 12,461,475.22/3,959.26
  6. Step 6: Final answer
    x = 3,147.43

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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.