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Finding the Fourth Proportional to 3,943.70, 5,904.77 and 3,839.13

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Solution

The fourth proportional to 3,943.70, 5,904.77 and 3,839.13 is: 5,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.70 : 5,904.77 = 3,839.13 : x
  2. Step 2: Convert to fraction form
    3,943.70/5,904.77 = 3,839.13/x
  3. Step 3: Cross multiply
    3,943.70x = 5,904.77 × 3,839.13
  4. Step 4: Simplify right side
    3,943.70x = 22,669,160.45
  5. Step 5: Solve for x
    x = 22,669,160.45/3,943.70
  6. Step 6: Final answer
    x = 5,748.20

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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.