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Finding the Fourth Proportional to 3,728.40, 5,592.60 and 3,446.80

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Solution

The fourth proportional to 3,728.40, 5,592.60 and 3,446.80 is: 5,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.40 : 5,592.60 = 3,446.80 : x
  2. Step 2: Convert to fraction form
    3,728.40/5,592.60 = 3,446.80/x
  3. Step 3: Cross multiply
    3,728.40x = 5,592.60 × 3,446.80
  4. Step 4: Simplify right side
    3,728.40x = 19,276,573.68
  5. Step 5: Solve for x
    x = 19,276,573.68/3,728.40
  6. Step 6: Final answer
    x = 5,170.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.