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Finding the Fourth Proportional to 4,175.52, 6,266.16 and 4,143.12

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Solution

The fourth proportional to 4,175.52, 6,266.16 and 4,143.12 is: 6,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.52 : 6,266.16 = 4,143.12 : x
  2. Step 2: Convert to fraction form
    4,175.52/6,266.16 = 4,143.12/x
  3. Step 3: Cross multiply
    4,175.52x = 6,266.16 × 4,143.12
  4. Step 4: Simplify right side
    4,175.52x = 25,961,452.82
  5. Step 5: Solve for x
    x = 25,961,452.82/4,175.52
  6. Step 6: Final answer
    x = 6,217.54

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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.