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Finding the Fourth Proportional to 5,872.64, 8,806.33 and 4,222.29

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Solution

The fourth proportional to 5,872.64, 8,806.33 and 4,222.29 is: 6,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.64 : 8,806.33 = 4,222.29 : x
  2. Step 2: Convert to fraction form
    5,872.64/8,806.33 = 4,222.29/x
  3. Step 3: Cross multiply
    5,872.64x = 8,806.33 × 4,222.29
  4. Step 4: Simplify right side
    5,872.64x = 37,182,857.98
  5. Step 5: Solve for x
    x = 37,182,857.98/5,872.64
  6. Step 6: Final answer
    x = 6,331.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.