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Finding the Fourth Proportional to 3,902.40, 5,385.80 and 2,224.41

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Solution

The fourth proportional to 3,902.40, 5,385.80 and 2,224.41 is: 3,069.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.40 : 5,385.80 = 2,224.41 : x
  2. Step 2: Convert to fraction form
    3,902.40/5,385.80 = 2,224.41/x
  3. Step 3: Cross multiply
    3,902.40x = 5,385.80 × 2,224.41
  4. Step 4: Simplify right side
    3,902.40x = 11,980,232.94
  5. Step 5: Solve for x
    x = 11,980,232.94/3,902.40
  6. Step 6: Final answer
    x = 3,069.97

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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.