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Finding the Fourth Proportional to 3,638.66, 5,023.01 and 2,982.56

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Solution

The fourth proportional to 3,638.66, 5,023.01 and 2,982.56 is: 4,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.66 : 5,023.01 = 2,982.56 : x
  2. Step 2: Convert to fraction form
    3,638.66/5,023.01 = 2,982.56/x
  3. Step 3: Cross multiply
    3,638.66x = 5,023.01 × 2,982.56
  4. Step 4: Simplify right side
    3,638.66x = 14,981,411.05
  5. Step 5: Solve for x
    x = 14,981,411.05/3,638.66
  6. Step 6: Final answer
    x = 4,117.29

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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.