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Finding the Fourth Proportional to 5,267.34, 7,268.85 and 3,757.68

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Solution

The fourth proportional to 5,267.34, 7,268.85 and 3,757.68 is: 5,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.34 : 7,268.85 = 3,757.68 : x
  2. Step 2: Convert to fraction form
    5,267.34/7,268.85 = 3,757.68/x
  3. Step 3: Cross multiply
    5,267.34x = 7,268.85 × 3,757.68
  4. Step 4: Simplify right side
    5,267.34x = 27,314,012.27
  5. Step 5: Solve for x
    x = 27,314,012.27/5,267.34
  6. Step 6: Final answer
    x = 5,185.54

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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.