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Finding the Fourth Proportional to 3,838.30, 5,760.53 and 1,989.95

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Solution

The fourth proportional to 3,838.30, 5,760.53 and 1,989.95 is: 2,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.30 : 5,760.53 = 1,989.95 : x
  2. Step 2: Convert to fraction form
    3,838.30/5,760.53 = 1,989.95/x
  3. Step 3: Cross multiply
    3,838.30x = 5,760.53 × 1,989.95
  4. Step 4: Simplify right side
    3,838.30x = 11,463,135.38
  5. Step 5: Solve for x
    x = 11,463,135.38/3,838.30
  6. Step 6: Final answer
    x = 2,986.52

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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.