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Finding the Fourth Proportional to 5,753.60, 7,937.92 and 3,394.56

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Solution

The fourth proportional to 5,753.60, 7,937.92 and 3,394.56 is: 4,683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.60 : 7,937.92 = 3,394.56 : x
  2. Step 2: Convert to fraction form
    5,753.60/7,937.92 = 3,394.56/x
  3. Step 3: Cross multiply
    5,753.60x = 7,937.92 × 3,394.56
  4. Step 4: Simplify right side
    5,753.60x = 26,945,745.72
  5. Step 5: Solve for x
    x = 26,945,745.72/5,753.60
  6. Step 6: Final answer
    x = 4,683.28

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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.