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Finding the Fourth Proportional to 3,839.98, 5,730.02 and 3,426.27

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Solution

The fourth proportional to 3,839.98, 5,730.02 and 3,426.27 is: 5,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.98 : 5,730.02 = 3,426.27 : x
  2. Step 2: Convert to fraction form
    3,839.98/5,730.02 = 3,426.27/x
  3. Step 3: Cross multiply
    3,839.98x = 5,730.02 × 3,426.27
  4. Step 4: Simplify right side
    3,839.98x = 19,632,595.63
  5. Step 5: Solve for x
    x = 19,632,595.63/3,839.98
  6. Step 6: Final answer
    x = 5,112.68

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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.