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Finding the Fourth Proportional to 3,545.91, 4,891.89 and 2,286.69

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Solution

The fourth proportional to 3,545.91, 4,891.89 and 2,286.69 is: 3,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.91 : 4,891.89 = 2,286.69 : x
  2. Step 2: Convert to fraction form
    3,545.91/4,891.89 = 2,286.69/x
  3. Step 3: Cross multiply
    3,545.91x = 4,891.89 × 2,286.69
  4. Step 4: Simplify right side
    3,545.91x = 11,186,235.94
  5. Step 5: Solve for x
    x = 11,186,235.94/3,545.91
  6. Step 6: Final answer
    x = 3,154.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.