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Finding the Fourth Proportional to 5,199.24, 7,799.88 and 1,912.32

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Solution

The fourth proportional to 5,199.24, 7,799.88 and 1,912.32 is: 2,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.24 : 7,799.88 = 1,912.32 : x
  2. Step 2: Convert to fraction form
    5,199.24/7,799.88 = 1,912.32/x
  3. Step 3: Cross multiply
    5,199.24x = 7,799.88 × 1,912.32
  4. Step 4: Simplify right side
    5,199.24x = 14,915,866.52
  5. Step 5: Solve for x
    x = 14,915,866.52/5,199.24
  6. Step 6: Final answer
    x = 2,868.86

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1.5x scale

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.