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Finding the Fourth Proportional to 3,877.73, 5,351.16 and 2,199.30

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Solution

The fourth proportional to 3,877.73, 5,351.16 and 2,199.30 is: 3,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.73 : 5,351.16 = 2,199.30 : x
  2. Step 2: Convert to fraction form
    3,877.73/5,351.16 = 2,199.30/x
  3. Step 3: Cross multiply
    3,877.73x = 5,351.16 × 2,199.30
  4. Step 4: Simplify right side
    3,877.73x = 11,768,806.19
  5. Step 5: Solve for x
    x = 11,768,806.19/3,877.73
  6. Step 6: Final answer
    x = 3,034.97

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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.