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Finding the Fourth Proportional to 5,209.96, 7,815.72 and 2,249.22

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Solution

The fourth proportional to 5,209.96, 7,815.72 and 2,249.22 is: 3,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.96 : 7,815.72 = 2,249.22 : x
  2. Step 2: Convert to fraction form
    5,209.96/7,815.72 = 2,249.22/x
  3. Step 3: Cross multiply
    5,209.96x = 7,815.72 × 2,249.22
  4. Step 4: Simplify right side
    5,209.96x = 17,579,273.74
  5. Step 5: Solve for x
    x = 17,579,273.74/5,209.96
  6. Step 6: Final answer
    x = 3,374.17

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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.