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Finding the Fourth Proportional to 2,638.68, 3,962.12 and 2,521.81

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Solution

The fourth proportional to 2,638.68, 3,962.12 and 2,521.81 is: 3,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.68 : 3,962.12 = 2,521.81 : x
  2. Step 2: Convert to fraction form
    2,638.68/3,962.12 = 2,521.81/x
  3. Step 3: Cross multiply
    2,638.68x = 3,962.12 × 2,521.81
  4. Step 4: Simplify right side
    2,638.68x = 9,991,695.04
  5. Step 5: Solve for x
    x = 9,991,695.04/2,638.68
  6. Step 6: Final answer
    x = 3,786.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.