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Finding the Fourth Proportional to 3,839.77, 5,760.56 and 1,242.70

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Solution

The fourth proportional to 3,839.77, 5,760.56 and 1,242.70 is: 1,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.77 : 5,760.56 = 1,242.70 : x
  2. Step 2: Convert to fraction form
    3,839.77/5,760.56 = 1,242.70/x
  3. Step 3: Cross multiply
    3,839.77x = 5,760.56 × 1,242.70
  4. Step 4: Simplify right side
    3,839.77x = 7,158,669.02
  5. Step 5: Solve for x
    x = 7,158,669.02/3,839.77
  6. Step 6: Final answer
    x = 1,864.35

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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.