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Finding the Fourth Proportional to 4,675.17, 6,449.47 and 2,786.15

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Solution

The fourth proportional to 4,675.17, 6,449.47 and 2,786.15 is: 3,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.17 : 6,449.47 = 2,786.15 : x
  2. Step 2: Convert to fraction form
    4,675.17/6,449.47 = 2,786.15/x
  3. Step 3: Cross multiply
    4,675.17x = 6,449.47 × 2,786.15
  4. Step 4: Simplify right side
    4,675.17x = 17,969,179.39
  5. Step 5: Solve for x
    x = 17,969,179.39/4,675.17
  6. Step 6: Final answer
    x = 3,843.54

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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.