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Finding the Fourth Proportional to 5,872.16, 8,103.96 and 3,879.28

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Solution

The fourth proportional to 5,872.16, 8,103.96 and 3,879.28 is: 5,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.16 : 8,103.96 = 3,879.28 : x
  2. Step 2: Convert to fraction form
    5,872.16/8,103.96 = 3,879.28/x
  3. Step 3: Cross multiply
    5,872.16x = 8,103.96 × 3,879.28
  4. Step 4: Simplify right side
    5,872.16x = 31,437,529.95
  5. Step 5: Solve for x
    x = 31,437,529.95/5,872.16
  6. Step 6: Final answer
    x = 5,353.66

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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.