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Finding the Fourth Proportional to 4,138.38, 5,709.04 and 2,369.04

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Solution

The fourth proportional to 4,138.38, 5,709.04 and 2,369.04 is: 3,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.38 : 5,709.04 = 2,369.04 : x
  2. Step 2: Convert to fraction form
    4,138.38/5,709.04 = 2,369.04/x
  3. Step 3: Cross multiply
    4,138.38x = 5,709.04 × 2,369.04
  4. Step 4: Simplify right side
    4,138.38x = 13,524,944.12
  5. Step 5: Solve for x
    x = 13,524,944.12/4,138.38
  6. Step 6: Final answer
    x = 3,268.17

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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.