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Finding the Fourth Proportional to 3,638.74, 5,021.31 and 2,066.92

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Solution

The fourth proportional to 3,638.74, 5,021.31 and 2,066.92 is: 2,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.74 : 5,021.31 = 2,066.92 : x
  2. Step 2: Convert to fraction form
    3,638.74/5,021.31 = 2,066.92/x
  3. Step 3: Cross multiply
    3,638.74x = 5,021.31 × 2,066.92
  4. Step 4: Simplify right side
    3,638.74x = 10,378,646.07
  5. Step 5: Solve for x
    x = 10,378,646.07/3,638.74
  6. Step 6: Final answer
    x = 2,852.26

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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.