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Finding the Fourth Proportional to 4,891.32, 6,749.64 and 2,767.14

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Solution

The fourth proportional to 4,891.32, 6,749.64 and 2,767.14 is: 3,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.32 : 6,749.64 = 2,767.14 : x
  2. Step 2: Convert to fraction form
    4,891.32/6,749.64 = 2,767.14/x
  3. Step 3: Cross multiply
    4,891.32x = 6,749.64 × 2,767.14
  4. Step 4: Simplify right side
    4,891.32x = 18,677,198.83
  5. Step 5: Solve for x
    x = 18,677,198.83/4,891.32
  6. Step 6: Final answer
    x = 3,818.44

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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.