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Finding the Fourth Proportional to 4,107.68, 5,667.18 and 3,163.76

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Solution

The fourth proportional to 4,107.68, 5,667.18 and 3,163.76 is: 4,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.68 : 5,667.18 = 3,163.76 : x
  2. Step 2: Convert to fraction form
    4,107.68/5,667.18 = 3,163.76/x
  3. Step 3: Cross multiply
    4,107.68x = 5,667.18 × 3,163.76
  4. Step 4: Simplify right side
    4,107.68x = 17,929,597.40
  5. Step 5: Solve for x
    x = 17,929,597.40/4,107.68
  6. Step 6: Final answer
    x = 4,364.90

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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.