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Finding the Fourth Proportional to 3,799.24, 5,698.83 and 1,333.49

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Solution

The fourth proportional to 3,799.24, 5,698.83 and 1,333.49 is: 2,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.24 : 5,698.83 = 1,333.49 : x
  2. Step 2: Convert to fraction form
    3,799.24/5,698.83 = 1,333.49/x
  3. Step 3: Cross multiply
    3,799.24x = 5,698.83 × 1,333.49
  4. Step 4: Simplify right side
    3,799.24x = 7,599,332.82
  5. Step 5: Solve for x
    x = 7,599,332.82/3,799.24
  6. Step 6: Final answer
    x = 2,000.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.