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Finding the Fourth Proportional to 5,249.83, 7,873.20 and 1,962.15

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Solution

The fourth proportional to 5,249.83, 7,873.20 and 1,962.15 is: 2,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.83 : 7,873.20 = 1,962.15 : x
  2. Step 2: Convert to fraction form
    5,249.83/7,873.20 = 1,962.15/x
  3. Step 3: Cross multiply
    5,249.83x = 7,873.20 × 1,962.15
  4. Step 4: Simplify right side
    5,249.83x = 15,448,392.00
  5. Step 5: Solve for x
    x = 15,448,392.00/5,249.83
  6. Step 6: Final answer
    x = 2,942.65

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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.