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Finding the Fourth Proportional to 4,957.43, 7,434.99 and 1,446.70

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Solution

The fourth proportional to 4,957.43, 7,434.99 and 1,446.70 is: 2,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.43 : 7,434.99 = 1,446.70 : x
  2. Step 2: Convert to fraction form
    4,957.43/7,434.99 = 1,446.70/x
  3. Step 3: Cross multiply
    4,957.43x = 7,434.99 × 1,446.70
  4. Step 4: Simplify right side
    4,957.43x = 10,756,214.75
  5. Step 5: Solve for x
    x = 10,756,214.75/4,957.43
  6. Step 6: Final answer
    x = 2,169.71

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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.