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Finding the Fourth Proportional to 5,922.16, 8,175.02 and 4,039.96

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Solution

The fourth proportional to 5,922.16, 8,175.02 and 4,039.96 is: 5,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.16 : 8,175.02 = 4,039.96 : x
  2. Step 2: Convert to fraction form
    5,922.16/8,175.02 = 4,039.96/x
  3. Step 3: Cross multiply
    5,922.16x = 8,175.02 × 4,039.96
  4. Step 4: Simplify right side
    5,922.16x = 33,026,753.80
  5. Step 5: Solve for x
    x = 33,026,753.80/5,922.16
  6. Step 6: Final answer
    x = 5,576.81

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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.