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Finding the Fourth Proportional to 4,712.68, 7,069.17 and 1,425.77

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Solution

The fourth proportional to 4,712.68, 7,069.17 and 1,425.77 is: 2,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.68 : 7,069.17 = 1,425.77 : x
  2. Step 2: Convert to fraction form
    4,712.68/7,069.17 = 1,425.77/x
  3. Step 3: Cross multiply
    4,712.68x = 7,069.17 × 1,425.77
  4. Step 4: Simplify right side
    4,712.68x = 10,079,007.02
  5. Step 5: Solve for x
    x = 10,079,007.02/4,712.68
  6. Step 6: Final answer
    x = 2,138.70

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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.