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Finding the Fourth Proportional to 4,711.17, 7,067.70 and 2,248.77

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Solution

The fourth proportional to 4,711.17, 7,067.70 and 2,248.77 is: 3,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.17 : 7,067.70 = 2,248.77 : x
  2. Step 2: Convert to fraction form
    4,711.17/7,067.70 = 2,248.77/x
  3. Step 3: Cross multiply
    4,711.17x = 7,067.70 × 2,248.77
  4. Step 4: Simplify right side
    4,711.17x = 15,893,631.73
  5. Step 5: Solve for x
    x = 15,893,631.73/4,711.17
  6. Step 6: Final answer
    x = 3,373.61

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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.