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Finding the Fourth Proportional to 5,942.83, 8,202.06 and 4,524.25

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Solution

The fourth proportional to 5,942.83, 8,202.06 and 4,524.25 is: 6,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.83 : 8,202.06 = 4,524.25 : x
  2. Step 2: Convert to fraction form
    5,942.83/8,202.06 = 4,524.25/x
  3. Step 3: Cross multiply
    5,942.83x = 8,202.06 × 4,524.25
  4. Step 4: Simplify right side
    5,942.83x = 37,108,169.96
  5. Step 5: Solve for x
    x = 37,108,169.96/5,942.83
  6. Step 6: Final answer
    x = 6,244.19

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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.