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Finding the Fourth Proportional to 3,728.54, 5,142.21 and 3,170.81

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Solution

The fourth proportional to 3,728.54, 5,142.21 and 3,170.81 is: 4,373.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.54 : 5,142.21 = 3,170.81 : x
  2. Step 2: Convert to fraction form
    3,728.54/5,142.21 = 3,170.81/x
  3. Step 3: Cross multiply
    3,728.54x = 5,142.21 × 3,170.81
  4. Step 4: Simplify right side
    3,728.54x = 16,304,970.89
  5. Step 5: Solve for x
    x = 16,304,970.89/3,728.54
  6. Step 6: Final answer
    x = 4,373.02

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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.