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Finding the Fourth Proportional to 4,969.26, 7,454.12 and 3,514.91

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Solution

The fourth proportional to 4,969.26, 7,454.12 and 3,514.91 is: 5,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.26 : 7,454.12 = 3,514.91 : x
  2. Step 2: Convert to fraction form
    4,969.26/7,454.12 = 3,514.91/x
  3. Step 3: Cross multiply
    4,969.26x = 7,454.12 × 3,514.91
  4. Step 4: Simplify right side
    4,969.26x = 26,200,560.93
  5. Step 5: Solve for x
    x = 26,200,560.93/4,969.26
  6. Step 6: Final answer
    x = 5,272.53

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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.