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Finding the Fourth Proportional to 5,229.78, 7,832.31 and 4,126.77

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Solution

The fourth proportional to 5,229.78, 7,832.31 and 4,126.77 is: 6,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.78 : 7,832.31 = 4,126.77 : x
  2. Step 2: Convert to fraction form
    5,229.78/7,832.31 = 4,126.77/x
  3. Step 3: Cross multiply
    5,229.78x = 7,832.31 × 4,126.77
  4. Step 4: Simplify right side
    5,229.78x = 32,322,141.94
  5. Step 5: Solve for x
    x = 32,322,141.94/5,229.78
  6. Step 6: Final answer
    x = 6,180.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.