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Finding the Fourth Proportional to 3,679.68, 5,077.83 and 2,107.47

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Solution

The fourth proportional to 3,679.68, 5,077.83 and 2,107.47 is: 2,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.68 : 5,077.83 = 2,107.47 : x
  2. Step 2: Convert to fraction form
    3,679.68/5,077.83 = 2,107.47/x
  3. Step 3: Cross multiply
    3,679.68x = 5,077.83 × 2,107.47
  4. Step 4: Simplify right side
    3,679.68x = 10,701,401.33
  5. Step 5: Solve for x
    x = 10,701,401.33/3,679.68
  6. Step 6: Final answer
    x = 2,908.24

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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.