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Finding the Fourth Proportional to 5,344.65, 7,375.05 and 3,579.66

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Solution

The fourth proportional to 5,344.65, 7,375.05 and 3,579.66 is: 4,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.65 : 7,375.05 = 3,579.66 : x
  2. Step 2: Convert to fraction form
    5,344.65/7,375.05 = 3,579.66/x
  3. Step 3: Cross multiply
    5,344.65x = 7,375.05 × 3,579.66
  4. Step 4: Simplify right side
    5,344.65x = 26,400,171.48
  5. Step 5: Solve for x
    x = 26,400,171.48/5,344.65
  6. Step 6: Final answer
    x = 4,939.55

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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.