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Finding the Fourth Proportional to 4,126.68, 5,694.48 and 2,263.68

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Solution

The fourth proportional to 4,126.68, 5,694.48 and 2,263.68 is: 3,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126.68 : 5,694.48 = 2,263.68 : x
  2. Step 2: Convert to fraction form
    4,126.68/5,694.48 = 2,263.68/x
  3. Step 3: Cross multiply
    4,126.68x = 5,694.48 × 2,263.68
  4. Step 4: Simplify right side
    4,126.68x = 12,890,480.49
  5. Step 5: Solve for x
    x = 12,890,480.49/4,126.68
  6. Step 6: Final answer
    x = 3,123.69

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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.