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Finding the Fourth Proportional to 5,200.11, 7,799.91 and 1,912.98

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Solution

The fourth proportional to 5,200.11, 7,799.91 and 1,912.98 is: 2,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.11 : 7,799.91 = 1,912.98 : x
  2. Step 2: Convert to fraction form
    5,200.11/7,799.91 = 1,912.98/x
  3. Step 3: Cross multiply
    5,200.11x = 7,799.91 × 1,912.98
  4. Step 4: Simplify right side
    5,200.11x = 14,921,071.83
  5. Step 5: Solve for x
    x = 14,921,071.83/5,200.11
  6. Step 6: Final answer
    x = 2,869.38

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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.