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Finding the Fourth Proportional to 3,663.80, 5,494.62 and 2,020.04

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Solution

The fourth proportional to 3,663.80, 5,494.62 and 2,020.04 is: 3,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.80 : 5,494.62 = 2,020.04 : x
  2. Step 2: Convert to fraction form
    3,663.80/5,494.62 = 2,020.04/x
  3. Step 3: Cross multiply
    3,663.80x = 5,494.62 × 2,020.04
  4. Step 4: Simplify right side
    3,663.80x = 11,099,352.18
  5. Step 5: Solve for x
    x = 11,099,352.18/3,663.80
  6. Step 6: Final answer
    x = 3,029.46

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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.