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Finding the Fourth Proportional to 7,738.29, 10,678.77 and 4,201.29

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Solution

The fourth proportional to 7,738.29, 10,678.77 and 4,201.29 is: 5,797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.29 : 10,678.77 = 4,201.29 : x
  2. Step 2: Convert to fraction form
    7,738.29/10,678.77 = 4,201.29/x
  3. Step 3: Cross multiply
    7,738.29x = 10,678.77 × 4,201.29
  4. Step 4: Simplify right side
    7,738.29x = 44,864,609.61
  5. Step 5: Solve for x
    x = 44,864,609.61/7,738.29
  6. Step 6: Final answer
    x = 5,797.74

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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.