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Finding the Fourth Proportional to 3,626.28, 5,005.24 and 2,134.68

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Solution

The fourth proportional to 3,626.28, 5,005.24 and 2,134.68 is: 2,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.28 : 5,005.24 = 2,134.68 : x
  2. Step 2: Convert to fraction form
    3,626.28/5,005.24 = 2,134.68/x
  3. Step 3: Cross multiply
    3,626.28x = 5,005.24 × 2,134.68
  4. Step 4: Simplify right side
    3,626.28x = 10,684,585.72
  5. Step 5: Solve for x
    x = 10,684,585.72/3,626.28
  6. Step 6: Final answer
    x = 2,946.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.