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Finding the Fourth Proportional to 5,956.82, 8,223.05 and 4,171.32

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Solution

The fourth proportional to 5,956.82, 8,223.05 and 4,171.32 is: 5,758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.82 : 8,223.05 = 4,171.32 : x
  2. Step 2: Convert to fraction form
    5,956.82/8,223.05 = 4,171.32/x
  3. Step 3: Cross multiply
    5,956.82x = 8,223.05 × 4,171.32
  4. Step 4: Simplify right side
    5,956.82x = 34,300,952.07
  5. Step 5: Solve for x
    x = 34,300,952.07/5,956.82
  6. Step 6: Final answer
    x = 5,758.27

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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.