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Finding the Fourth Proportional to 5,872.97, 8,104.71 and 3,220.42

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Solution

The fourth proportional to 5,872.97, 8,104.71 and 3,220.42 is: 4,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.97 : 8,104.71 = 3,220.42 : x
  2. Step 2: Convert to fraction form
    5,872.97/8,104.71 = 3,220.42/x
  3. Step 3: Cross multiply
    5,872.97x = 8,104.71 × 3,220.42
  4. Step 4: Simplify right side
    5,872.97x = 26,100,570.18
  5. Step 5: Solve for x
    x = 26,100,570.18/5,872.97
  6. Step 6: Final answer
    x = 4,444.19

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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.