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Finding the Fourth Proportional to 3,922.86, 5,412.70 and 2,243.82

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Solution

The fourth proportional to 3,922.86, 5,412.70 and 2,243.82 is: 3,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.86 : 5,412.70 = 2,243.82 : x
  2. Step 2: Convert to fraction form
    3,922.86/5,412.70 = 2,243.82/x
  3. Step 3: Cross multiply
    3,922.86x = 5,412.70 × 2,243.82
  4. Step 4: Simplify right side
    3,922.86x = 12,145,124.51
  5. Step 5: Solve for x
    x = 12,145,124.51/3,922.86
  6. Step 6: Final answer
    x = 3,095.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.