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Finding the Fourth Proportional to 4,822.50, 7,233.75 and 1,359.75

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Solution

The fourth proportional to 4,822.50, 7,233.75 and 1,359.75 is: 2,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.50 : 7,233.75 = 1,359.75 : x
  2. Step 2: Convert to fraction form
    4,822.50/7,233.75 = 1,359.75/x
  3. Step 3: Cross multiply
    4,822.50x = 7,233.75 × 1,359.75
  4. Step 4: Simplify right side
    4,822.50x = 9,836,091.56
  5. Step 5: Solve for x
    x = 9,836,091.56/4,822.50
  6. Step 6: Final answer
    x = 2,039.63

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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.