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Finding the Fourth Proportional to 3,284.25, 4,924.89 and 943.72

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Solution

The fourth proportional to 3,284.25, 4,924.89 and 943.72 is: 1,415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.25 : 4,924.89 = 943.72 : x
  2. Step 2: Convert to fraction form
    3,284.25/4,924.89 = 943.72/x
  3. Step 3: Cross multiply
    3,284.25x = 4,924.89 × 943.72
  4. Step 4: Simplify right side
    3,284.25x = 4,647,704.88
  5. Step 5: Solve for x
    x = 4,647,704.88/3,284.25
  6. Step 6: Final answer
    x = 1,415.15

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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.