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Finding the Fourth Proportional to 5,921.67, 8,171.62 and 3,402

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Solution

The fourth proportional to 5,921.67, 8,171.62 and 3,402 is: 4,694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.67 : 8,171.62 = 3,402 : x
  2. Step 2: Convert to fraction form
    5,921.67/8,171.62 = 3,402/x
  3. Step 3: Cross multiply
    5,921.67x = 8,171.62 × 3,402
  4. Step 4: Simplify right side
    5,921.67x = 27,799,842.74
  5. Step 5: Solve for x
    x = 27,799,842.74/5,921.67
  6. Step 6: Final answer
    x = 4,694.59

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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.