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Finding the Fourth Proportional to 5,992.16, 8,269.04 and 3,755.28

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Solution

The fourth proportional to 5,992.16, 8,269.04 and 3,755.28 is: 5,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.16 : 8,269.04 = 3,755.28 : x
  2. Step 2: Convert to fraction form
    5,992.16/8,269.04 = 3,755.28/x
  3. Step 3: Cross multiply
    5,992.16x = 8,269.04 × 3,755.28
  4. Step 4: Simplify right side
    5,992.16x = 31,052,560.53
  5. Step 5: Solve for x
    x = 31,052,560.53/5,992.16
  6. Step 6: Final answer
    x = 5,182.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.