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Finding the Fourth Proportional to 3,638.69, 5,449.81 and 2,982.59

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Solution

The fourth proportional to 3,638.69, 5,449.81 and 2,982.59 is: 4,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.69 : 5,449.81 = 2,982.59 : x
  2. Step 2: Convert to fraction form
    3,638.69/5,449.81 = 2,982.59/x
  3. Step 3: Cross multiply
    3,638.69x = 5,449.81 × 2,982.59
  4. Step 4: Simplify right side
    3,638.69x = 16,254,548.81
  5. Step 5: Solve for x
    x = 16,254,548.81/3,638.69
  6. Step 6: Final answer
    x = 4,467.14

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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.