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Finding the Fourth Proportional to 5,582.38, 8,375 and 3,942.13

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Solution

The fourth proportional to 5,582.38, 8,375 and 3,942.13 is: 5,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.38 : 8,375 = 3,942.13 : x
  2. Step 2: Convert to fraction form
    5,582.38/8,375 = 3,942.13/x
  3. Step 3: Cross multiply
    5,582.38x = 8,375 × 3,942.13
  4. Step 4: Simplify right side
    5,582.38x = 33,015,338.75
  5. Step 5: Solve for x
    x = 33,015,338.75/5,582.38
  6. Step 6: Final answer
    x = 5,914.20

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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.