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Finding the Fourth Proportional to 5,747.60, 7,932.44 and 3,389.96

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Solution

The fourth proportional to 5,747.60, 7,932.44 and 3,389.96 is: 4,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.60 : 7,932.44 = 3,389.96 : x
  2. Step 2: Convert to fraction form
    5,747.60/7,932.44 = 3,389.96/x
  3. Step 3: Cross multiply
    5,747.60x = 7,932.44 × 3,389.96
  4. Step 4: Simplify right side
    5,747.60x = 26,890,654.30
  5. Step 5: Solve for x
    x = 26,890,654.30/5,747.60
  6. Step 6: Final answer
    x = 4,678.59

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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.