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Finding the Fourth Proportional to 3,898.90, 5,380.14 and 2,197.56

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Solution

The fourth proportional to 3,898.90, 5,380.14 and 2,197.56 is: 3,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.90 : 5,380.14 = 2,197.56 : x
  2. Step 2: Convert to fraction form
    3,898.90/5,380.14 = 2,197.56/x
  3. Step 3: Cross multiply
    3,898.90x = 5,380.14 × 2,197.56
  4. Step 4: Simplify right side
    3,898.90x = 11,823,180.46
  5. Step 5: Solve for x
    x = 11,823,180.46/3,898.90
  6. Step 6: Final answer
    x = 3,032.44

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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.