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Finding the Fourth Proportional to 3,306.47, 4,959.92 and 966.53

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Solution

The fourth proportional to 3,306.47, 4,959.92 and 966.53 is: 1,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.47 : 4,959.92 = 966.53 : x
  2. Step 2: Convert to fraction form
    3,306.47/4,959.92 = 966.53/x
  3. Step 3: Cross multiply
    3,306.47x = 4,959.92 × 966.53
  4. Step 4: Simplify right side
    3,306.47x = 4,793,889.09
  5. Step 5: Solve for x
    x = 4,793,889.09/3,306.47
  6. Step 6: Final answer
    x = 1,449.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.