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Finding the Fourth Proportional to 4,957.52, 7,434.53 and 1,446.56

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Solution

The fourth proportional to 4,957.52, 7,434.53 and 1,446.56 is: 2,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.52 : 7,434.53 = 1,446.56 : x
  2. Step 2: Convert to fraction form
    4,957.52/7,434.53 = 1,446.56/x
  3. Step 3: Cross multiply
    4,957.52x = 7,434.53 × 1,446.56
  4. Step 4: Simplify right side
    4,957.52x = 10,754,493.72
  5. Step 5: Solve for x
    x = 10,754,493.72/4,957.52
  6. Step 6: Final answer
    x = 2,169.33

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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.