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Finding the Fourth Proportional to 5,638.95, 7,785.18 and 3,753.27

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Solution

The fourth proportional to 5,638.95, 7,785.18 and 3,753.27 is: 5,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.95 : 7,785.18 = 3,753.27 : x
  2. Step 2: Convert to fraction form
    5,638.95/7,785.18 = 3,753.27/x
  3. Step 3: Cross multiply
    5,638.95x = 7,785.18 × 3,753.27
  4. Step 4: Simplify right side
    5,638.95x = 29,219,882.54
  5. Step 5: Solve for x
    x = 29,219,882.54/5,638.95
  6. Step 6: Final answer
    x = 5,181.79

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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.