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Finding the Fourth Proportional to 3,292.50, 4,935.83 and 1,212.01

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Solution

The fourth proportional to 3,292.50, 4,935.83 and 1,212.01 is: 1,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.50 : 4,935.83 = 1,212.01 : x
  2. Step 2: Convert to fraction form
    3,292.50/4,935.83 = 1,212.01/x
  3. Step 3: Cross multiply
    3,292.50x = 4,935.83 × 1,212.01
  4. Step 4: Simplify right side
    3,292.50x = 5,982,284.68
  5. Step 5: Solve for x
    x = 5,982,284.68/3,292.50
  6. Step 6: Final answer
    x = 1,816.94

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Why These Related Problems?

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