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Finding the Fourth Proportional to 3,760.32, 5,641.44 and 2,118

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Solution

The fourth proportional to 3,760.32, 5,641.44 and 2,118 is: 3,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.32 : 5,641.44 = 2,118 : x
  2. Step 2: Convert to fraction form
    3,760.32/5,641.44 = 2,118/x
  3. Step 3: Cross multiply
    3,760.32x = 5,641.44 × 2,118
  4. Step 4: Simplify right side
    3,760.32x = 11,948,569.92
  5. Step 5: Solve for x
    x = 11,948,569.92/3,760.32
  6. Step 6: Final answer
    x = 3,177.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.