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Finding the Fourth Proportional to 6,452.85, 8,896.57 and 4,180.15

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Solution

The fourth proportional to 6,452.85, 8,896.57 and 4,180.15 is: 5,763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.85 : 8,896.57 = 4,180.15 : x
  2. Step 2: Convert to fraction form
    6,452.85/8,896.57 = 4,180.15/x
  3. Step 3: Cross multiply
    6,452.85x = 8,896.57 × 4,180.15
  4. Step 4: Simplify right side
    6,452.85x = 37,188,997.09
  5. Step 5: Solve for x
    x = 37,188,997.09/6,452.85
  6. Step 6: Final answer
    x = 5,763.19

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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.