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Finding the Fourth Proportional to 3,758.63, 5,639.02 and 1,126.33

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Solution

The fourth proportional to 3,758.63, 5,639.02 and 1,126.33 is: 1,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.63 : 5,639.02 = 1,126.33 : x
  2. Step 2: Convert to fraction form
    3,758.63/5,639.02 = 1,126.33/x
  3. Step 3: Cross multiply
    3,758.63x = 5,639.02 × 1,126.33
  4. Step 4: Simplify right side
    3,758.63x = 6,351,380.48
  5. Step 5: Solve for x
    x = 6,351,380.48/3,758.63
  6. Step 6: Final answer
    x = 1,689.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.