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Finding the Fourth Proportional to 4,799.40, 7,199.40 and 1,512.96

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Solution

The fourth proportional to 4,799.40, 7,199.40 and 1,512.96 is: 2,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799.40 : 7,199.40 = 1,512.96 : x
  2. Step 2: Convert to fraction form
    4,799.40/7,199.40 = 1,512.96/x
  3. Step 3: Cross multiply
    4,799.40x = 7,199.40 × 1,512.96
  4. Step 4: Simplify right side
    4,799.40x = 10,892,404.22
  5. Step 5: Solve for x
    x = 10,892,404.22/4,799.40
  6. Step 6: Final answer
    x = 2,269.53

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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.