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Finding the Fourth Proportional to 5,872.89, 8,104.67 and 3,514.57

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Solution

The fourth proportional to 5,872.89, 8,104.67 and 3,514.57 is: 4,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.89 : 8,104.67 = 3,514.57 : x
  2. Step 2: Convert to fraction form
    5,872.89/8,104.67 = 3,514.57/x
  3. Step 3: Cross multiply
    5,872.89x = 8,104.67 × 3,514.57
  4. Step 4: Simplify right side
    5,872.89x = 28,484,430.04
  5. Step 5: Solve for x
    x = 28,484,430.04/5,872.89
  6. Step 6: Final answer
    x = 4,850.16

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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.