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Finding the Fourth Proportional to 4,107.71, 5,667.64 and 2,339.21

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Solution

The fourth proportional to 4,107.71, 5,667.64 and 2,339.21 is: 3,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.71 : 5,667.64 = 2,339.21 : x
  2. Step 2: Convert to fraction form
    4,107.71/5,667.64 = 2,339.21/x
  3. Step 3: Cross multiply
    4,107.71x = 5,667.64 × 2,339.21
  4. Step 4: Simplify right side
    4,107.71x = 13,257,808.49
  5. Step 5: Solve for x
    x = 13,257,808.49/4,107.71
  6. Step 6: Final answer
    x = 3,227.54

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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.