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Finding the Fourth Proportional to 5,198.84, 7,799.43 and 1,736

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Solution

The fourth proportional to 5,198.84, 7,799.43 and 1,736 is: 2,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.84 : 7,799.43 = 1,736 : x
  2. Step 2: Convert to fraction form
    5,198.84/7,799.43 = 1,736/x
  3. Step 3: Cross multiply
    5,198.84x = 7,799.43 × 1,736
  4. Step 4: Simplify right side
    5,198.84x = 13,539,810.48
  5. Step 5: Solve for x
    x = 13,539,810.48/5,198.84
  6. Step 6: Final answer
    x = 2,604.39

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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.