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Finding the Fourth Proportional to 3,249.64, 4,873.24 and 2,564.38

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Solution

The fourth proportional to 3,249.64, 4,873.24 and 2,564.38 is: 3,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.64 : 4,873.24 = 2,564.38 : x
  2. Step 2: Convert to fraction form
    3,249.64/4,873.24 = 2,564.38/x
  3. Step 3: Cross multiply
    3,249.64x = 4,873.24 × 2,564.38
  4. Step 4: Simplify right side
    3,249.64x = 12,496,839.19
  5. Step 5: Solve for x
    x = 12,496,839.19/3,249.64
  6. Step 6: Final answer
    x = 3,845.61

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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.