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Finding the Fourth Proportional to 3,779.92, 5,215.75 and 2,207.71

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Solution

The fourth proportional to 3,779.92, 5,215.75 and 2,207.71 is: 3,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.92 : 5,215.75 = 2,207.71 : x
  2. Step 2: Convert to fraction form
    3,779.92/5,215.75 = 2,207.71/x
  3. Step 3: Cross multiply
    3,779.92x = 5,215.75 × 2,207.71
  4. Step 4: Simplify right side
    3,779.92x = 11,514,863.43
  5. Step 5: Solve for x
    x = 11,514,863.43/3,779.92
  6. Step 6: Final answer
    x = 3,046.32

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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.