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Finding the Fourth Proportional to 4,161.88, 5,742.68 and 2,392.84

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Solution

The fourth proportional to 4,161.88, 5,742.68 and 2,392.84 is: 3,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.88 : 5,742.68 = 2,392.84 : x
  2. Step 2: Convert to fraction form
    4,161.88/5,742.68 = 2,392.84/x
  3. Step 3: Cross multiply
    4,161.88x = 5,742.68 × 2,392.84
  4. Step 4: Simplify right side
    4,161.88x = 13,741,314.41
  5. Step 5: Solve for x
    x = 13,741,314.41/4,161.88
  6. Step 6: Final answer
    x = 3,301.71

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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.