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Finding the Fourth Proportional to 5,949.96, 8,926.25 and 2,252.22

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Solution

The fourth proportional to 5,949.96, 8,926.25 and 2,252.22 is: 3,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.96 : 8,926.25 = 2,252.22 : x
  2. Step 2: Convert to fraction form
    5,949.96/8,926.25 = 2,252.22/x
  3. Step 3: Cross multiply
    5,949.96x = 8,926.25 × 2,252.22
  4. Step 4: Simplify right side
    5,949.96x = 20,103,867.51
  5. Step 5: Solve for x
    x = 20,103,867.51/5,949.96
  6. Step 6: Final answer
    x = 3,378.82

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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.