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Finding the Fourth Proportional to 3,898.40, 5,380.44 and 2,327.36

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Solution

The fourth proportional to 3,898.40, 5,380.44 and 2,327.36 is: 3,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.40 : 5,380.44 = 2,327.36 : x
  2. Step 2: Convert to fraction form
    3,898.40/5,380.44 = 2,327.36/x
  3. Step 3: Cross multiply
    3,898.40x = 5,380.44 × 2,327.36
  4. Step 4: Simplify right side
    3,898.40x = 12,522,220.84
  5. Step 5: Solve for x
    x = 12,522,220.84/3,898.40
  6. Step 6: Final answer
    x = 3,212.14

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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.