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Finding the Fourth Proportional to 7,738.62, 10,679.13 and 4,201.80

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Solution

The fourth proportional to 7,738.62, 10,679.13 and 4,201.80 is: 5,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.62 : 10,679.13 = 4,201.80 : x
  2. Step 2: Convert to fraction form
    7,738.62/10,679.13 = 4,201.80/x
  3. Step 3: Cross multiply
    7,738.62x = 10,679.13 × 4,201.80
  4. Step 4: Simplify right side
    7,738.62x = 44,871,568.43
  5. Step 5: Solve for x
    x = 44,871,568.43/7,738.62
  6. Step 6: Final answer
    x = 5,798.39

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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.