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Finding the Fourth Proportional to 3,902.72, 5,382.78 and 2,486.66

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Solution

The fourth proportional to 3,902.72, 5,382.78 and 2,486.66 is: 3,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.72 : 5,382.78 = 2,486.66 : x
  2. Step 2: Convert to fraction form
    3,902.72/5,382.78 = 2,486.66/x
  3. Step 3: Cross multiply
    3,902.72x = 5,382.78 × 2,486.66
  4. Step 4: Simplify right side
    3,902.72x = 13,385,143.71
  5. Step 5: Solve for x
    x = 13,385,143.71/3,902.72
  6. Step 6: Final answer
    x = 3,429.70

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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.