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Finding the Fourth Proportional to 5,739.78, 7,918.86 and 3,751.49

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Solution

The fourth proportional to 5,739.78, 7,918.86 and 3,751.49 is: 5,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.78 : 7,918.86 = 3,751.49 : x
  2. Step 2: Convert to fraction form
    5,739.78/7,918.86 = 3,751.49/x
  3. Step 3: Cross multiply
    5,739.78x = 7,918.86 × 3,751.49
  4. Step 4: Simplify right side
    5,739.78x = 29,707,519.41
  5. Step 5: Solve for x
    x = 29,707,519.41/5,739.78
  6. Step 6: Final answer
    x = 5,175.72

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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.