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Finding the Fourth Proportional to 3,838.36, 5,760.68 and 1,990.04

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Solution

The fourth proportional to 3,838.36, 5,760.68 and 1,990.04 is: 2,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.36 : 5,760.68 = 1,990.04 : x
  2. Step 2: Convert to fraction form
    3,838.36/5,760.68 = 1,990.04/x
  3. Step 3: Cross multiply
    3,838.36x = 5,760.68 × 1,990.04
  4. Step 4: Simplify right side
    3,838.36x = 11,463,983.63
  5. Step 5: Solve for x
    x = 11,463,983.63/3,838.36
  6. Step 6: Final answer
    x = 2,986.69

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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.