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Finding the Fourth Proportional to 3,768.04, 5,650.94 and 1,426.31

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Solution

The fourth proportional to 3,768.04, 5,650.94 and 1,426.31 is: 2,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.04 : 5,650.94 = 1,426.31 : x
  2. Step 2: Convert to fraction form
    3,768.04/5,650.94 = 1,426.31/x
  3. Step 3: Cross multiply
    3,768.04x = 5,650.94 × 1,426.31
  4. Step 4: Simplify right side
    3,768.04x = 8,059,988.73
  5. Step 5: Solve for x
    x = 8,059,988.73/3,768.04
  6. Step 6: Final answer
    x = 2,139.04

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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.