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Finding the Fourth Proportional to 3,679.46, 5,078.12 and 2,107.56

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Solution

The fourth proportional to 3,679.46, 5,078.12 and 2,107.56 is: 2,908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.46 : 5,078.12 = 2,107.56 : x
  2. Step 2: Convert to fraction form
    3,679.46/5,078.12 = 2,107.56/x
  3. Step 3: Cross multiply
    3,679.46x = 5,078.12 × 2,107.56
  4. Step 4: Simplify right side
    3,679.46x = 10,702,406.66
  5. Step 5: Solve for x
    x = 10,702,406.66/3,679.46
  6. Step 6: Final answer
    x = 2,908.69

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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.