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Finding the Fourth Proportional to 3,679.74, 5,077.89 and 2,107.62

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Solution

The fourth proportional to 3,679.74, 5,077.89 and 2,107.62 is: 2,908.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.74 : 5,077.89 = 2,107.62 : x
  2. Step 2: Convert to fraction form
    3,679.74/5,077.89 = 2,107.62/x
  3. Step 3: Cross multiply
    3,679.74x = 5,077.89 × 2,107.62
  4. Step 4: Simplify right side
    3,679.74x = 10,702,262.52
  5. Step 5: Solve for x
    x = 10,702,262.52/3,679.74
  6. Step 6: Final answer
    x = 2,908.43

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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.