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Finding the Fourth Proportional to 4,249.64, 5,864.43 and 2,361.24

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Solution

The fourth proportional to 4,249.64, 5,864.43 and 2,361.24 is: 3,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.64 : 5,864.43 = 2,361.24 : x
  2. Step 2: Convert to fraction form
    4,249.64/5,864.43 = 2,361.24/x
  3. Step 3: Cross multiply
    4,249.64x = 5,864.43 × 2,361.24
  4. Step 4: Simplify right side
    4,249.64x = 13,847,326.69
  5. Step 5: Solve for x
    x = 13,847,326.69/4,249.64
  6. Step 6: Final answer
    x = 3,258.47

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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.