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Finding the Fourth Proportional to 6,272.57, 8,656.25 and 3,440.22

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Solution

The fourth proportional to 6,272.57, 8,656.25 and 3,440.22 is: 4,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.57 : 8,656.25 = 3,440.22 : x
  2. Step 2: Convert to fraction form
    6,272.57/8,656.25 = 3,440.22/x
  3. Step 3: Cross multiply
    6,272.57x = 8,656.25 × 3,440.22
  4. Step 4: Simplify right side
    6,272.57x = 29,779,404.38
  5. Step 5: Solve for x
    x = 29,779,404.38/6,272.57
  6. Step 6: Final answer
    x = 4,747.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.