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Finding the Fourth Proportional to 3,876.18, 5,349.18 and 2,197.62

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Solution

The fourth proportional to 3,876.18, 5,349.18 and 2,197.62 is: 3,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.18 : 5,349.18 = 2,197.62 : x
  2. Step 2: Convert to fraction form
    3,876.18/5,349.18 = 2,197.62/x
  3. Step 3: Cross multiply
    3,876.18x = 5,349.18 × 2,197.62
  4. Step 4: Simplify right side
    3,876.18x = 11,755,464.95
  5. Step 5: Solve for x
    x = 11,755,464.95/3,876.18
  6. Step 6: Final answer
    x = 3,032.74

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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.