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Finding the Fourth Proportional to 3,771.38, 5,201.16 and 2,443.70

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Solution

The fourth proportional to 3,771.38, 5,201.16 and 2,443.70 is: 3,370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.38 : 5,201.16 = 2,443.70 : x
  2. Step 2: Convert to fraction form
    3,771.38/5,201.16 = 2,443.70/x
  3. Step 3: Cross multiply
    3,771.38x = 5,201.16 × 2,443.70
  4. Step 4: Simplify right side
    3,771.38x = 12,710,074.69
  5. Step 5: Solve for x
    x = 12,710,074.69/3,771.38
  6. Step 6: Final answer
    x = 3,370.14

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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.