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Finding the Fourth Proportional to 3,959.70, 5,464.65 and 2,281.65

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Solution

The fourth proportional to 3,959.70, 5,464.65 and 2,281.65 is: 3,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.70 : 5,464.65 = 2,281.65 : x
  2. Step 2: Convert to fraction form
    3,959.70/5,464.65 = 2,281.65/x
  3. Step 3: Cross multiply
    3,959.70x = 5,464.65 × 2,281.65
  4. Step 4: Simplify right side
    3,959.70x = 12,468,418.67
  5. Step 5: Solve for x
    x = 12,468,418.67/3,959.70
  6. Step 6: Final answer
    x = 3,148.83

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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.