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Finding the Fourth Proportional to 7,738.57, 10,679.23 and 4,201.84

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Solution

The fourth proportional to 7,738.57, 10,679.23 and 4,201.84 is: 5,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.57 : 10,679.23 = 4,201.84 : x
  2. Step 2: Convert to fraction form
    7,738.57/10,679.23 = 4,201.84/x
  3. Step 3: Cross multiply
    7,738.57x = 10,679.23 × 4,201.84
  4. Step 4: Simplify right side
    7,738.57x = 44,872,341.38
  5. Step 5: Solve for x
    x = 44,872,341.38/7,738.57
  6. Step 6: Final answer
    x = 5,798.54

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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.