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Finding the Fourth Proportional to 3,778.65, 5,215.19 and 2,207.61

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Solution

The fourth proportional to 3,778.65, 5,215.19 and 2,207.61 is: 3,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.65 : 5,215.19 = 2,207.61 : x
  2. Step 2: Convert to fraction form
    3,778.65/5,215.19 = 2,207.61/x
  3. Step 3: Cross multiply
    3,778.65x = 5,215.19 × 2,207.61
  4. Step 4: Simplify right side
    3,778.65x = 11,513,094.56
  5. Step 5: Solve for x
    x = 11,513,094.56/3,778.65
  6. Step 6: Final answer
    x = 3,046.88

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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.