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Finding the Fourth Proportional to 5,199.84, 7,796.63 and 2,033.51

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Solution

The fourth proportional to 5,199.84, 7,796.63 and 2,033.51 is: 3,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.84 : 7,796.63 = 2,033.51 : x
  2. Step 2: Convert to fraction form
    5,199.84/7,796.63 = 2,033.51/x
  3. Step 3: Cross multiply
    5,199.84x = 7,796.63 × 2,033.51
  4. Step 4: Simplify right side
    5,199.84x = 15,854,494.03
  5. Step 5: Solve for x
    x = 15,854,494.03/5,199.84
  6. Step 6: Final answer
    x = 3,049.04

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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.