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Finding the Fourth Proportional to 5,266.27, 7,269.78 and 3,142.54

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Solution

The fourth proportional to 5,266.27, 7,269.78 and 3,142.54 is: 4,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.27 : 7,269.78 = 3,142.54 : x
  2. Step 2: Convert to fraction form
    5,266.27/7,269.78 = 3,142.54/x
  3. Step 3: Cross multiply
    5,266.27x = 7,269.78 × 3,142.54
  4. Step 4: Simplify right side
    5,266.27x = 22,845,574.44
  5. Step 5: Solve for x
    x = 22,845,574.44/5,266.27
  6. Step 6: Final answer
    x = 4,338.09

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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.