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Finding the Fourth Proportional to 5,344.42, 7,375.44 and 2,986.71

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Solution

The fourth proportional to 5,344.42, 7,375.44 and 2,986.71 is: 4,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.42 : 7,375.44 = 2,986.71 : x
  2. Step 2: Convert to fraction form
    5,344.42/7,375.44 = 2,986.71/x
  3. Step 3: Cross multiply
    5,344.42x = 7,375.44 × 2,986.71
  4. Step 4: Simplify right side
    5,344.42x = 22,028,300.40
  5. Step 5: Solve for x
    x = 22,028,300.40/5,344.42
  6. Step 6: Final answer
    x = 4,121.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.