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Finding the Fourth Proportional to 4,126.69, 5,694.83 and 2,263.69

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Solution

The fourth proportional to 4,126.69, 5,694.83 and 2,263.69 is: 3,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126.69 : 5,694.83 = 2,263.69 : x
  2. Step 2: Convert to fraction form
    4,126.69/5,694.83 = 2,263.69/x
  3. Step 3: Cross multiply
    4,126.69x = 5,694.83 × 2,263.69
  4. Step 4: Simplify right side
    4,126.69x = 12,891,321.14
  5. Step 5: Solve for x
    x = 12,891,321.14/4,126.69
  6. Step 6: Final answer
    x = 3,123.89

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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.