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Finding the Fourth Proportional to 3,638.74, 5,022.06 and 2,147.02

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Solution

The fourth proportional to 3,638.74, 5,022.06 and 2,147.02 is: 2,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.74 : 5,022.06 = 2,147.02 : x
  2. Step 2: Convert to fraction form
    3,638.74/5,022.06 = 2,147.02/x
  3. Step 3: Cross multiply
    3,638.74x = 5,022.06 × 2,147.02
  4. Step 4: Simplify right side
    3,638.74x = 10,782,463.26
  5. Step 5: Solve for x
    x = 10,782,463.26/3,638.74
  6. Step 6: Final answer
    x = 2,963.24

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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.