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Finding the Fourth Proportional to 3,728.16, 5,141.88 and 3,308.80

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Solution

The fourth proportional to 3,728.16, 5,141.88 and 3,308.80 is: 4,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.16 : 5,141.88 = 3,308.80 : x
  2. Step 2: Convert to fraction form
    3,728.16/5,141.88 = 3,308.80/x
  3. Step 3: Cross multiply
    3,728.16x = 5,141.88 × 3,308.80
  4. Step 4: Simplify right side
    3,728.16x = 17,013,452.54
  5. Step 5: Solve for x
    x = 17,013,452.54/3,728.16
  6. Step 6: Final answer
    x = 4,563.50

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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.