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Finding the Fourth Proportional to 4,269.05, 5,891.10 and 3,149.58

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Solution

The fourth proportional to 4,269.05, 5,891.10 and 3,149.58 is: 4,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.05 : 5,891.10 = 3,149.58 : x
  2. Step 2: Convert to fraction form
    4,269.05/5,891.10 = 3,149.58/x
  3. Step 3: Cross multiply
    4,269.05x = 5,891.10 × 3,149.58
  4. Step 4: Simplify right side
    4,269.05x = 18,554,490.74
  5. Step 5: Solve for x
    x = 18,554,490.74/4,269.05
  6. Step 6: Final answer
    x = 4,346.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.