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Finding the Fourth Proportional to 6,452.26, 8,899.22 and 4,466.14

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Solution

The fourth proportional to 6,452.26, 8,899.22 and 4,466.14 is: 6,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.26 : 8,899.22 = 4,466.14 : x
  2. Step 2: Convert to fraction form
    6,452.26/8,899.22 = 4,466.14/x
  3. Step 3: Cross multiply
    6,452.26x = 8,899.22 × 4,466.14
  4. Step 4: Simplify right side
    6,452.26x = 39,745,162.41
  5. Step 5: Solve for x
    x = 39,745,162.41/6,452.26
  6. Step 6: Final answer
    x = 6,159.88

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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.