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Finding the Fourth Proportional to 5,066.40, 7,601.34 and 3,839.78

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Solution

The fourth proportional to 5,066.40, 7,601.34 and 3,839.78 is: 5,760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.40 : 7,601.34 = 3,839.78 : x
  2. Step 2: Convert to fraction form
    5,066.40/7,601.34 = 3,839.78/x
  3. Step 3: Cross multiply
    5,066.40x = 7,601.34 × 3,839.78
  4. Step 4: Simplify right side
    5,066.40x = 29,187,473.31
  5. Step 5: Solve for x
    x = 29,187,473.31/5,066.40
  6. Step 6: Final answer
    x = 5,760.99

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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.