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Finding the Fourth Proportional to 4,471.27, 6,169.42 and 2,582.82

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Solution

The fourth proportional to 4,471.27, 6,169.42 and 2,582.82 is: 3,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.27 : 6,169.42 = 2,582.82 : x
  2. Step 2: Convert to fraction form
    4,471.27/6,169.42 = 2,582.82/x
  3. Step 3: Cross multiply
    4,471.27x = 6,169.42 × 2,582.82
  4. Step 4: Simplify right side
    4,471.27x = 15,934,501.36
  5. Step 5: Solve for x
    x = 15,934,501.36/4,471.27
  6. Step 6: Final answer
    x = 3,563.75

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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.