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Finding the Fourth Proportional to 3,275.73, 4,913.01 and 936.09

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Solution

The fourth proportional to 3,275.73, 4,913.01 and 936.09 is: 1,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.73 : 4,913.01 = 936.09 : x
  2. Step 2: Convert to fraction form
    3,275.73/4,913.01 = 936.09/x
  3. Step 3: Cross multiply
    3,275.73x = 4,913.01 × 936.09
  4. Step 4: Simplify right side
    3,275.73x = 4,599,019.53
  5. Step 5: Solve for x
    x = 4,599,019.53/3,275.73
  6. Step 6: Final answer
    x = 1,403.97

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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.