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Finding the Fourth Proportional to 5,872.24, 8,103.72 and 3,219.64

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Solution

The fourth proportional to 5,872.24, 8,103.72 and 3,219.64 is: 4,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.24 : 8,103.72 = 3,219.64 : x
  2. Step 2: Convert to fraction form
    5,872.24/8,103.72 = 3,219.64/x
  3. Step 3: Cross multiply
    5,872.24x = 8,103.72 × 3,219.64
  4. Step 4: Simplify right side
    5,872.24x = 26,091,061.06
  5. Step 5: Solve for x
    x = 26,091,061.06/5,872.24
  6. Step 6: Final answer
    x = 4,443.12

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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.