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Finding the Fourth Proportional to 3,842.15, 5,753.47 and 2,195.82

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Solution

The fourth proportional to 3,842.15, 5,753.47 and 2,195.82 is: 3,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.15 : 5,753.47 = 2,195.82 : x
  2. Step 2: Convert to fraction form
    3,842.15/5,753.47 = 2,195.82/x
  3. Step 3: Cross multiply
    3,842.15x = 5,753.47 × 2,195.82
  4. Step 4: Simplify right side
    3,842.15x = 12,633,593.39
  5. Step 5: Solve for x
    x = 12,633,593.39/3,842.15
  6. Step 6: Final answer
    x = 3,288.16

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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.