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Finding the Fourth Proportional to 4,107, 5,667.86 and 2,338.77

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Solution

The fourth proportional to 4,107, 5,667.86 and 2,338.77 is: 3,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107 : 5,667.86 = 2,338.77 : x
  2. Step 2: Convert to fraction form
    4,107/5,667.86 = 2,338.77/x
  3. Step 3: Cross multiply
    4,107x = 5,667.86 × 2,338.77
  4. Step 4: Simplify right side
    4,107x = 13,255,826.78
  5. Step 5: Solve for x
    x = 13,255,826.78/4,107
  6. Step 6: Final answer
    x = 3,227.62

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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.