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Finding the Fourth Proportional to 3,630.69, 5,010.26 and 2,138.70

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Solution

The fourth proportional to 3,630.69, 5,010.26 and 2,138.70 is: 2,951.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.69 : 5,010.26 = 2,138.70 : x
  2. Step 2: Convert to fraction form
    3,630.69/5,010.26 = 2,138.70/x
  3. Step 3: Cross multiply
    3,630.69x = 5,010.26 × 2,138.70
  4. Step 4: Simplify right side
    3,630.69x = 10,715,451.16
  5. Step 5: Solve for x
    x = 10,715,451.16/3,630.69
  6. Step 6: Final answer
    x = 2,951.35

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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.