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Finding the Fourth Proportional to 4,199.76, 6,287.31 and 2,634.66

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Solution

The fourth proportional to 4,199.76, 6,287.31 and 2,634.66 is: 3,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.76 : 6,287.31 = 2,634.66 : x
  2. Step 2: Convert to fraction form
    4,199.76/6,287.31 = 2,634.66/x
  3. Step 3: Cross multiply
    4,199.76x = 6,287.31 × 2,634.66
  4. Step 4: Simplify right side
    4,199.76x = 16,564,924.16
  5. Step 5: Solve for x
    x = 16,564,924.16/4,199.76
  6. Step 6: Final answer
    x = 3,944.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.