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Finding the Fourth Proportional to 5,199.48, 7,799.27 and 1,736.73

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Solution

The fourth proportional to 5,199.48, 7,799.27 and 1,736.73 is: 2,605.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.48 : 7,799.27 = 1,736.73 : x
  2. Step 2: Convert to fraction form
    5,199.48/7,799.27 = 1,736.73/x
  3. Step 3: Cross multiply
    5,199.48x = 7,799.27 × 1,736.73
  4. Step 4: Simplify right side
    5,199.48x = 13,545,217.50
  5. Step 5: Solve for x
    x = 13,545,217.50/5,199.48
  6. Step 6: Final answer
    x = 2,605.11

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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.