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Finding the Fourth Proportional to 5,667.14, 8,491.31 and 3,471.26

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Solution

The fourth proportional to 5,667.14, 8,491.31 and 3,471.26 is: 5,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.14 : 8,491.31 = 3,471.26 : x
  2. Step 2: Convert to fraction form
    5,667.14/8,491.31 = 3,471.26/x
  3. Step 3: Cross multiply
    5,667.14x = 8,491.31 × 3,471.26
  4. Step 4: Simplify right side
    5,667.14x = 29,475,497.95
  5. Step 5: Solve for x
    x = 29,475,497.95/5,667.14
  6. Step 6: Final answer
    x = 5,201.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.