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Finding the Fourth Proportional to 5,199.54, 7,798.46 and 1,736.78

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Solution

The fourth proportional to 5,199.54, 7,798.46 and 1,736.78 is: 2,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.54 : 7,798.46 = 1,736.78 : x
  2. Step 2: Convert to fraction form
    5,199.54/7,798.46 = 1,736.78/x
  3. Step 3: Cross multiply
    5,199.54x = 7,798.46 × 1,736.78
  4. Step 4: Simplify right side
    5,199.54x = 13,544,209.36
  5. Step 5: Solve for x
    x = 13,544,209.36/5,199.54
  6. Step 6: Final answer
    x = 2,604.89

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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.