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Finding the Fourth Proportional to 3,314.68, 4,972.02 and 1,006.18

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Solution

The fourth proportional to 3,314.68, 4,972.02 and 1,006.18 is: 1,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.68 : 4,972.02 = 1,006.18 : x
  2. Step 2: Convert to fraction form
    3,314.68/4,972.02 = 1,006.18/x
  3. Step 3: Cross multiply
    3,314.68x = 4,972.02 × 1,006.18
  4. Step 4: Simplify right side
    3,314.68x = 5,002,747.08
  5. Step 5: Solve for x
    x = 5,002,747.08/3,314.68
  6. Step 6: Final answer
    x = 1,509.27

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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.