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Finding the Fourth Proportional to 3,638.70, 5,022.18 and 2,146.06

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Solution

The fourth proportional to 3,638.70, 5,022.18 and 2,146.06 is: 2,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.70 : 5,022.18 = 2,146.06 : x
  2. Step 2: Convert to fraction form
    3,638.70/5,022.18 = 2,146.06/x
  3. Step 3: Cross multiply
    3,638.70x = 5,022.18 × 2,146.06
  4. Step 4: Simplify right side
    3,638.70x = 10,777,899.61
  5. Step 5: Solve for x
    x = 10,777,899.61/3,638.70
  6. Step 6: Final answer
    x = 2,962.02

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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.