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Finding the Fourth Proportional to 4,711.61, 7,067.19 and 1,591.40

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Solution

The fourth proportional to 4,711.61, 7,067.19 and 1,591.40 is: 2,387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.61 : 7,067.19 = 1,591.40 : x
  2. Step 2: Convert to fraction form
    4,711.61/7,067.19 = 1,591.40/x
  3. Step 3: Cross multiply
    4,711.61x = 7,067.19 × 1,591.40
  4. Step 4: Simplify right side
    4,711.61x = 11,246,726.17
  5. Step 5: Solve for x
    x = 11,246,726.17/4,711.61
  6. Step 6: Final answer
    x = 2,387.02

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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.