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Finding the Fourth Proportional to 4,084.92, 5,637.15 and 2,221.92

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Solution

The fourth proportional to 4,084.92, 5,637.15 and 2,221.92 is: 3,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084.92 : 5,637.15 = 2,221.92 : x
  2. Step 2: Convert to fraction form
    4,084.92/5,637.15 = 2,221.92/x
  3. Step 3: Cross multiply
    4,084.92x = 5,637.15 × 2,221.92
  4. Step 4: Simplify right side
    4,084.92x = 12,525,296.33
  5. Step 5: Solve for x
    x = 12,525,296.33/4,084.92
  6. Step 6: Final answer
    x = 3,066.23

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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.