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Finding the Fourth Proportional to 4,711.57, 7,067.43 and 1,424.68

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Solution

The fourth proportional to 4,711.57, 7,067.43 and 1,424.68 is: 2,137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.57 : 7,067.43 = 1,424.68 : x
  2. Step 2: Convert to fraction form
    4,711.57/7,067.43 = 1,424.68/x
  3. Step 3: Cross multiply
    4,711.57x = 7,067.43 × 1,424.68
  4. Step 4: Simplify right side
    4,711.57x = 10,068,826.17
  5. Step 5: Solve for x
    x = 10,068,826.17/4,711.57
  6. Step 6: Final answer
    x = 2,137.04

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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.