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Finding the Fourth Proportional to 4,772.97, 7,158.24 and 2,139

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Solution

The fourth proportional to 4,772.97, 7,158.24 and 2,139 is: 3,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.97 : 7,158.24 = 2,139 : x
  2. Step 2: Convert to fraction form
    4,772.97/7,158.24 = 2,139/x
  3. Step 3: Cross multiply
    4,772.97x = 7,158.24 × 2,139
  4. Step 4: Simplify right side
    4,772.97x = 15,311,475.36
  5. Step 5: Solve for x
    x = 15,311,475.36/4,772.97
  6. Step 6: Final answer
    x = 3,207.96

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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.