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Finding the Fourth Proportional to 3,638.64, 5,021.34 and 2,066.82

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Solution

The fourth proportional to 3,638.64, 5,021.34 and 2,066.82 is: 2,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.64 : 5,021.34 = 2,066.82 : x
  2. Step 2: Convert to fraction form
    3,638.64/5,021.34 = 2,066.82/x
  3. Step 3: Cross multiply
    3,638.64x = 5,021.34 × 2,066.82
  4. Step 4: Simplify right side
    3,638.64x = 10,378,205.94
  5. Step 5: Solve for x
    x = 10,378,205.94/3,638.64
  6. Step 6: Final answer
    x = 2,852.22

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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.