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Finding the Fourth Proportional to 3,863.82, 5,781.89 and 3,345.62

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Solution

The fourth proportional to 3,863.82, 5,781.89 and 3,345.62 is: 5,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.82 : 5,781.89 = 3,345.62 : x
  2. Step 2: Convert to fraction form
    3,863.82/5,781.89 = 3,345.62/x
  3. Step 3: Cross multiply
    3,863.82x = 5,781.89 × 3,345.62
  4. Step 4: Simplify right side
    3,863.82x = 19,344,006.82
  5. Step 5: Solve for x
    x = 19,344,006.82/3,863.82
  6. Step 6: Final answer
    x = 5,006.45

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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.