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Finding the Fourth Proportional to 4,249.71, 5,864.76 and 2,361.42

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Solution

The fourth proportional to 4,249.71, 5,864.76 and 2,361.42 is: 3,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.71 : 5,864.76 = 2,361.42 : x
  2. Step 2: Convert to fraction form
    4,249.71/5,864.76 = 2,361.42/x
  3. Step 3: Cross multiply
    4,249.71x = 5,864.76 × 2,361.42
  4. Step 4: Simplify right side
    4,249.71x = 13,849,161.56
  5. Step 5: Solve for x
    x = 13,849,161.56/4,249.71
  6. Step 6: Final answer
    x = 3,258.85

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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.