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Finding the Fourth Proportional to 4,446.57, 6,671.43 and 1,981.16

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Solution

The fourth proportional to 4,446.57, 6,671.43 and 1,981.16 is: 2,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.57 : 6,671.43 = 1,981.16 : x
  2. Step 2: Convert to fraction form
    4,446.57/6,671.43 = 1,981.16/x
  3. Step 3: Cross multiply
    4,446.57x = 6,671.43 × 1,981.16
  4. Step 4: Simplify right side
    4,446.57x = 13,217,136.90
  5. Step 5: Solve for x
    x = 13,217,136.90/4,446.57
  6. Step 6: Final answer
    x = 2,972.43

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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.