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Finding the Fourth Proportional to 4,743, 7,115.58 and 1,665

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Solution

The fourth proportional to 4,743, 7,115.58 and 1,665 is: 2,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743 : 7,115.58 = 1,665 : x
  2. Step 2: Convert to fraction form
    4,743/7,115.58 = 1,665/x
  3. Step 3: Cross multiply
    4,743x = 7,115.58 × 1,665
  4. Step 4: Simplify right side
    4,743x = 11,847,440.70
  5. Step 5: Solve for x
    x = 11,847,440.70/4,743
  6. Step 6: Final answer
    x = 2,497.88

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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.