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Finding the Fourth Proportional to 3,838.12, 5,750.70 and 3,067

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Solution

The fourth proportional to 3,838.12, 5,750.70 and 3,067 is: 4,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.12 : 5,750.70 = 3,067 : x
  2. Step 2: Convert to fraction form
    3,838.12/5,750.70 = 3,067/x
  3. Step 3: Cross multiply
    3,838.12x = 5,750.70 × 3,067
  4. Step 4: Simplify right side
    3,838.12x = 17,637,396.90
  5. Step 5: Solve for x
    x = 17,637,396.90/3,838.12
  6. Step 6: Final answer
    x = 4,595.32

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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.