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Finding the Fourth Proportional to 4,654.15, 6,976.78 and 2,983.14

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Solution

The fourth proportional to 4,654.15, 6,976.78 and 2,983.14 is: 4,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.15 : 6,976.78 = 2,983.14 : x
  2. Step 2: Convert to fraction form
    4,654.15/6,976.78 = 2,983.14/x
  3. Step 3: Cross multiply
    4,654.15x = 6,976.78 × 2,983.14
  4. Step 4: Simplify right side
    4,654.15x = 20,812,711.49
  5. Step 5: Solve for x
    x = 20,812,711.49/4,654.15
  6. Step 6: Final answer
    x = 4,471.86

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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.