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Finding the Fourth Proportional to 5,956.85, 8,221.44 and 3,305.11

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Solution

The fourth proportional to 5,956.85, 8,221.44 and 3,305.11 is: 4,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.85 : 8,221.44 = 3,305.11 : x
  2. Step 2: Convert to fraction form
    5,956.85/8,221.44 = 3,305.11/x
  3. Step 3: Cross multiply
    5,956.85x = 8,221.44 × 3,305.11
  4. Step 4: Simplify right side
    5,956.85x = 27,172,775.35
  5. Step 5: Solve for x
    x = 27,172,775.35/5,956.85
  6. Step 6: Final answer
    x = 4,561.60

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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.