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Finding the Fourth Proportional to 3,964.73, 5,947.16 and 1,498.89

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Solution

The fourth proportional to 3,964.73, 5,947.16 and 1,498.89 is: 2,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.73 : 5,947.16 = 1,498.89 : x
  2. Step 2: Convert to fraction form
    3,964.73/5,947.16 = 1,498.89/x
  3. Step 3: Cross multiply
    3,964.73x = 5,947.16 × 1,498.89
  4. Step 4: Simplify right side
    3,964.73x = 8,914,151.42
  5. Step 5: Solve for x
    x = 8,914,151.42/3,964.73
  6. Step 6: Final answer
    x = 2,248.36

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