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Finding the Fourth Proportional to 5,242.38, 7,843.93 and 3,126.27

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Solution

The fourth proportional to 5,242.38, 7,843.93 and 3,126.27 is: 4,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.38 : 7,843.93 = 3,126.27 : x
  2. Step 2: Convert to fraction form
    5,242.38/7,843.93 = 3,126.27/x
  3. Step 3: Cross multiply
    5,242.38x = 7,843.93 × 3,126.27
  4. Step 4: Simplify right side
    5,242.38x = 24,522,243.04
  5. Step 5: Solve for x
    x = 24,522,243.04/5,242.38
  6. Step 6: Final answer
    x = 4,677.69

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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.