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Finding the Fourth Proportional to 3,902.37, 5,839.65 and 3,127.35

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Solution

The fourth proportional to 3,902.37, 5,839.65 and 3,127.35 is: 4,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.37 : 5,839.65 = 3,127.35 : x
  2. Step 2: Convert to fraction form
    3,902.37/5,839.65 = 3,127.35/x
  3. Step 3: Cross multiply
    3,902.37x = 5,839.65 × 3,127.35
  4. Step 4: Simplify right side
    3,902.37x = 18,262,629.43
  5. Step 5: Solve for x
    x = 18,262,629.43/3,902.37
  6. Step 6: Final answer
    x = 4,679.88

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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.