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Finding the Fourth Proportional to 3,709.38, 5,119.41 and 2,218.12

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Solution

The fourth proportional to 3,709.38, 5,119.41 and 2,218.12 is: 3,061.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.38 : 5,119.41 = 2,218.12 : x
  2. Step 2: Convert to fraction form
    3,709.38/5,119.41 = 2,218.12/x
  3. Step 3: Cross multiply
    3,709.38x = 5,119.41 × 2,218.12
  4. Step 4: Simplify right side
    3,709.38x = 11,355,465.71
  5. Step 5: Solve for x
    x = 11,355,465.71/3,709.38
  6. Step 6: Final answer
    x = 3,061.28

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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.