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Finding the Fourth Proportional to 3,067.12, 4,589.34 and 1,835.38

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Solution

The fourth proportional to 3,067.12, 4,589.34 and 1,835.38 is: 2,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.12 : 4,589.34 = 1,835.38 : x
  2. Step 2: Convert to fraction form
    3,067.12/4,589.34 = 1,835.38/x
  3. Step 3: Cross multiply
    3,067.12x = 4,589.34 × 1,835.38
  4. Step 4: Simplify right side
    3,067.12x = 8,423,182.85
  5. Step 5: Solve for x
    x = 8,423,182.85/3,067.12
  6. Step 6: Final answer
    x = 2,746.28

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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.