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Finding the Fourth Proportional to 4,648.26, 6,414.19 and 2,658.49

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Solution

The fourth proportional to 4,648.26, 6,414.19 and 2,658.49 is: 3,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.26 : 6,414.19 = 2,658.49 : x
  2. Step 2: Convert to fraction form
    4,648.26/6,414.19 = 2,658.49/x
  3. Step 3: Cross multiply
    4,648.26x = 6,414.19 × 2,658.49
  4. Step 4: Simplify right side
    4,648.26x = 17,052,059.97
  5. Step 5: Solve for x
    x = 17,052,059.97/4,648.26
  6. Step 6: Final answer
    x = 3,668.48

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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.