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Finding the Fourth Proportional to 3,276.25, 4,913.61 and 936.20

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Solution

The fourth proportional to 3,276.25, 4,913.61 and 936.20 is: 1,404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.25 : 4,913.61 = 936.20 : x
  2. Step 2: Convert to fraction form
    3,276.25/4,913.61 = 936.20/x
  3. Step 3: Cross multiply
    3,276.25x = 4,913.61 × 936.20
  4. Step 4: Simplify right side
    3,276.25x = 4,600,121.68
  5. Step 5: Solve for x
    x = 4,600,121.68/3,276.25
  6. Step 6: Final answer
    x = 1,404.08

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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.