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Finding the Fourth Proportional to 5,872.26, 8,103.60 and 3,219.69

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Solution

The fourth proportional to 5,872.26, 8,103.60 and 3,219.69 is: 4,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.26 : 8,103.60 = 3,219.69 : x
  2. Step 2: Convert to fraction form
    5,872.26/8,103.60 = 3,219.69/x
  3. Step 3: Cross multiply
    5,872.26x = 8,103.60 × 3,219.69
  4. Step 4: Simplify right side
    5,872.26x = 26,091,079.88
  5. Step 5: Solve for x
    x = 26,091,079.88/5,872.26
  6. Step 6: Final answer
    x = 4,443.11

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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.