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Finding the Fourth Proportional to 4,471.39, 6,169.60 and 2,582.94

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Solution

The fourth proportional to 4,471.39, 6,169.60 and 2,582.94 is: 3,563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.39 : 6,169.60 = 2,582.94 : x
  2. Step 2: Convert to fraction form
    4,471.39/6,169.60 = 2,582.94/x
  3. Step 3: Cross multiply
    4,471.39x = 6,169.60 × 2,582.94
  4. Step 4: Simplify right side
    4,471.39x = 15,935,706.62
  5. Step 5: Solve for x
    x = 15,935,706.62/4,471.39
  6. Step 6: Final answer
    x = 3,563.93

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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.