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Finding the Fourth Proportional to 3,863.31, 5,781.12 and 3,345.10

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Solution

The fourth proportional to 3,863.31, 5,781.12 and 3,345.10 is: 5,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.31 : 5,781.12 = 3,345.10 : x
  2. Step 2: Convert to fraction form
    3,863.31/5,781.12 = 3,345.10/x
  3. Step 3: Cross multiply
    3,863.31x = 5,781.12 × 3,345.10
  4. Step 4: Simplify right side
    3,863.31x = 19,338,424.51
  5. Step 5: Solve for x
    x = 19,338,424.51/3,863.31
  6. Step 6: Final answer
    x = 5,005.66

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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.