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Finding the Fourth Proportional to 4,231.61, 6,348.93 and 1,891.42

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Solution

The fourth proportional to 4,231.61, 6,348.93 and 1,891.42 is: 2,837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.61 : 6,348.93 = 1,891.42 : x
  2. Step 2: Convert to fraction form
    4,231.61/6,348.93 = 1,891.42/x
  3. Step 3: Cross multiply
    4,231.61x = 6,348.93 × 1,891.42
  4. Step 4: Simplify right side
    4,231.61x = 12,008,477.31
  5. Step 5: Solve for x
    x = 12,008,477.31/4,231.61
  6. Step 6: Final answer
    x = 2,837.81

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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.