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Finding the Fourth Proportional to 4,833.50, 7,250.24 and 1,912.50

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Solution

The fourth proportional to 4,833.50, 7,250.24 and 1,912.50 is: 2,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.50 : 7,250.24 = 1,912.50 : x
  2. Step 2: Convert to fraction form
    4,833.50/7,250.24 = 1,912.50/x
  3. Step 3: Cross multiply
    4,833.50x = 7,250.24 × 1,912.50
  4. Step 4: Simplify right side
    4,833.50x = 13,866,084
  5. Step 5: Solve for x
    x = 13,866,084/4,833.50
  6. Step 6: Final answer
    x = 2,868.75

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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.