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Finding the Fourth Proportional to 6,171.75, 9,261.90 and 5,349.20

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Solution

The fourth proportional to 6,171.75, 9,261.90 and 5,349.20 is: 8,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.75 : 9,261.90 = 5,349.20 : x
  2. Step 2: Convert to fraction form
    6,171.75/9,261.90 = 5,349.20/x
  3. Step 3: Cross multiply
    6,171.75x = 9,261.90 × 5,349.20
  4. Step 4: Simplify right side
    6,171.75x = 49,543,709.17
  5. Step 5: Solve for x
    x = 49,543,709.17/6,171.75
  6. Step 6: Final answer
    x = 8,027.50

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Why These Related Problems?

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