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Finding the Fourth Proportional to 4,881.62, 6,734.97 and 2,785.22

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Solution

The fourth proportional to 4,881.62, 6,734.97 and 2,785.22 is: 3,842.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.62 : 6,734.97 = 2,785.22 : x
  2. Step 2: Convert to fraction form
    4,881.62/6,734.97 = 2,785.22/x
  3. Step 3: Cross multiply
    4,881.62x = 6,734.97 × 2,785.22
  4. Step 4: Simplify right side
    4,881.62x = 18,758,373.14
  5. Step 5: Solve for x
    x = 18,758,373.14/4,881.62
  6. Step 6: Final answer
    x = 3,842.65

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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.