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Finding the Fourth Proportional to 3,626.74, 5,004.02 and 2,134.72

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Solution

The fourth proportional to 3,626.74, 5,004.02 and 2,134.72 is: 2,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.74 : 5,004.02 = 2,134.72 : x
  2. Step 2: Convert to fraction form
    3,626.74/5,004.02 = 2,134.72/x
  3. Step 3: Cross multiply
    3,626.74x = 5,004.02 × 2,134.72
  4. Step 4: Simplify right side
    3,626.74x = 10,682,181.57
  5. Step 5: Solve for x
    x = 10,682,181.57/3,626.74
  6. Step 6: Final answer
    x = 2,945.39

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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.