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Finding the Fourth Proportional to 3,679.46, 5,077.51 and 2,000.83

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Solution

The fourth proportional to 3,679.46, 5,077.51 and 2,000.83 is: 2,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.46 : 5,077.51 = 2,000.83 : x
  2. Step 2: Convert to fraction form
    3,679.46/5,077.51 = 2,000.83/x
  3. Step 3: Cross multiply
    3,679.46x = 5,077.51 × 2,000.83
  4. Step 4: Simplify right side
    3,679.46x = 10,159,198.94
  5. Step 5: Solve for x
    x = 10,159,198.94/3,679.46
  6. Step 6: Final answer
    x = 2,761.06

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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.