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Finding the Fourth Proportional to 3,238.72, 4,471.68 and 2,119.84

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Solution

The fourth proportional to 3,238.72, 4,471.68 and 2,119.84 is: 2,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.72 : 4,471.68 = 2,119.84 : x
  2. Step 2: Convert to fraction form
    3,238.72/4,471.68 = 2,119.84/x
  3. Step 3: Cross multiply
    3,238.72x = 4,471.68 × 2,119.84
  4. Step 4: Simplify right side
    3,238.72x = 9,479,246.13
  5. Step 5: Solve for x
    x = 9,479,246.13/3,238.72
  6. Step 6: Final answer
    x = 2,926.85

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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.