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Finding the Fourth Proportional to 5,344.84, 7,375.86 and 2,986.98

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Solution

The fourth proportional to 5,344.84, 7,375.86 and 2,986.98 is: 4,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.84 : 7,375.86 = 2,986.98 : x
  2. Step 2: Convert to fraction form
    5,344.84/7,375.86 = 2,986.98/x
  3. Step 3: Cross multiply
    5,344.84x = 7,375.86 × 2,986.98
  4. Step 4: Simplify right side
    5,344.84x = 22,031,546.30
  5. Step 5: Solve for x
    x = 22,031,546.30/5,344.84
  6. Step 6: Final answer
    x = 4,122.02

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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.