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Finding the Fourth Proportional to 7,738.42, 10,679.03 and 4,201.55

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Solution

The fourth proportional to 7,738.42, 10,679.03 and 4,201.55 is: 5,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.42 : 10,679.03 = 4,201.55 : x
  2. Step 2: Convert to fraction form
    7,738.42/10,679.03 = 4,201.55/x
  3. Step 3: Cross multiply
    7,738.42x = 10,679.03 × 4,201.55
  4. Step 4: Simplify right side
    7,738.42x = 44,868,515.70
  5. Step 5: Solve for x
    x = 44,868,515.70/7,738.42
  6. Step 6: Final answer
    x = 5,798.15

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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.