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Finding the Fourth Proportional to 5,921.59, 8,171.80 and 3,269

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Solution

The fourth proportional to 5,921.59, 8,171.80 and 3,269 is: 4,511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.59 : 8,171.80 = 3,269 : x
  2. Step 2: Convert to fraction form
    5,921.59/8,171.80 = 3,269/x
  3. Step 3: Cross multiply
    5,921.59x = 8,171.80 × 3,269
  4. Step 4: Simplify right side
    5,921.59x = 26,713,614.20
  5. Step 5: Solve for x
    x = 26,713,614.20/5,921.59
  6. Step 6: Final answer
    x = 4,511.22

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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.