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Finding the Fourth Proportional to 6,578.42, 9,080.78 and 4,452.91

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Solution

The fourth proportional to 6,578.42, 9,080.78 and 4,452.91 is: 6,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.42 : 9,080.78 = 4,452.91 : x
  2. Step 2: Convert to fraction form
    6,578.42/9,080.78 = 4,452.91/x
  3. Step 3: Cross multiply
    6,578.42x = 9,080.78 × 4,452.91
  4. Step 4: Simplify right side
    6,578.42x = 40,435,851.10
  5. Step 5: Solve for x
    x = 40,435,851.10/6,578.42
  6. Step 6: Final answer
    x = 6,146.75

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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.