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Finding the Fourth Proportional to 5,744.82, 7,930.80 and 3,387.72

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Solution

The fourth proportional to 5,744.82, 7,930.80 and 3,387.72 is: 4,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.82 : 7,930.80 = 3,387.72 : x
  2. Step 2: Convert to fraction form
    5,744.82/7,930.80 = 3,387.72/x
  3. Step 3: Cross multiply
    5,744.82x = 7,930.80 × 3,387.72
  4. Step 4: Simplify right side
    5,744.82x = 26,867,329.78
  5. Step 5: Solve for x
    x = 26,867,329.78/5,744.82
  6. Step 6: Final answer
    x = 4,676.79

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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.