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Finding the Fourth Proportional to 3,626.54, 5,005.31 and 2,134.39

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Solution

The fourth proportional to 3,626.54, 5,005.31 and 2,134.39 is: 2,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.54 : 5,005.31 = 2,134.39 : x
  2. Step 2: Convert to fraction form
    3,626.54/5,005.31 = 2,134.39/x
  3. Step 3: Cross multiply
    3,626.54x = 5,005.31 × 2,134.39
  4. Step 4: Simplify right side
    3,626.54x = 10,683,260.43
  5. Step 5: Solve for x
    x = 10,683,260.43/3,626.54
  6. Step 6: Final answer
    x = 2,945.85

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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.