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Finding the Fourth Proportional to 3,782.69, 5,220.11 and 2,126.69

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Solution

The fourth proportional to 3,782.69, 5,220.11 and 2,126.69 is: 2,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.69 : 5,220.11 = 2,126.69 : x
  2. Step 2: Convert to fraction form
    3,782.69/5,220.11 = 2,126.69/x
  3. Step 3: Cross multiply
    3,782.69x = 5,220.11 × 2,126.69
  4. Step 4: Simplify right side
    3,782.69x = 11,101,555.74
  5. Step 5: Solve for x
    x = 11,101,555.74/3,782.69
  6. Step 6: Final answer
    x = 2,934.83

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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.