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Finding the Fourth Proportional to 3,567.71, 4,924.79 and 3,194.02

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Solution

The fourth proportional to 3,567.71, 4,924.79 and 3,194.02 is: 4,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.71 : 4,924.79 = 3,194.02 : x
  2. Step 2: Convert to fraction form
    3,567.71/4,924.79 = 3,194.02/x
  3. Step 3: Cross multiply
    3,567.71x = 4,924.79 × 3,194.02
  4. Step 4: Simplify right side
    3,567.71x = 15,729,873.43
  5. Step 5: Solve for x
    x = 15,729,873.43/3,567.71
  6. Step 6: Final answer
    x = 4,408.95

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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.