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Finding the Fourth Proportional to 3,646.88, 5,032.69 and 1,990.88

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Solution

The fourth proportional to 3,646.88, 5,032.69 and 1,990.88 is: 2,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.88 : 5,032.69 = 1,990.88 : x
  2. Step 2: Convert to fraction form
    3,646.88/5,032.69 = 1,990.88/x
  3. Step 3: Cross multiply
    3,646.88x = 5,032.69 × 1,990.88
  4. Step 4: Simplify right side
    3,646.88x = 10,019,451.73
  5. Step 5: Solve for x
    x = 10,019,451.73/3,646.88
  6. Step 6: Final answer
    x = 2,747.41

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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.