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Finding the Fourth Proportional to 3,957.24, 5,902.43 and 3,728.82

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Solution

The fourth proportional to 3,957.24, 5,902.43 and 3,728.82 is: 5,561.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.24 : 5,902.43 = 3,728.82 : x
  2. Step 2: Convert to fraction form
    3,957.24/5,902.43 = 3,728.82/x
  3. Step 3: Cross multiply
    3,957.24x = 5,902.43 × 3,728.82
  4. Step 4: Simplify right side
    3,957.24x = 22,009,080.39
  5. Step 5: Solve for x
    x = 22,009,080.39/3,957.24
  6. Step 6: Final answer
    x = 5,561.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.