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Finding the Fourth Proportional to 5,872.70, 8,104.66 and 3,220.16

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Solution

The fourth proportional to 5,872.70, 8,104.66 and 3,220.16 is: 4,443.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.70 : 8,104.66 = 3,220.16 : x
  2. Step 2: Convert to fraction form
    5,872.70/8,104.66 = 3,220.16/x
  3. Step 3: Cross multiply
    5,872.70x = 8,104.66 × 3,220.16
  4. Step 4: Simplify right side
    5,872.70x = 26,098,253.37
  5. Step 5: Solve for x
    x = 26,098,253.37/5,872.70
  6. Step 6: Final answer
    x = 4,443.99

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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.