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Finding the Fourth Proportional to 5,344.67, 7,375.78 and 2,986.96

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Solution

The fourth proportional to 5,344.67, 7,375.78 and 2,986.96 is: 4,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.67 : 7,375.78 = 2,986.96 : x
  2. Step 2: Convert to fraction form
    5,344.67/7,375.78 = 2,986.96/x
  3. Step 3: Cross multiply
    5,344.67x = 7,375.78 × 2,986.96
  4. Step 4: Simplify right side
    5,344.67x = 22,031,159.83
  5. Step 5: Solve for x
    x = 22,031,159.83/5,344.67
  6. Step 6: Final answer
    x = 4,122.08

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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.