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Finding the Fourth Proportional to 3,398.73, 5,097.84 and 933.33

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Solution

The fourth proportional to 3,398.73, 5,097.84 and 933.33 is: 1,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.73 : 5,097.84 = 933.33 : x
  2. Step 2: Convert to fraction form
    3,398.73/5,097.84 = 933.33/x
  3. Step 3: Cross multiply
    3,398.73x = 5,097.84 × 933.33
  4. Step 4: Simplify right side
    3,398.73x = 4,757,967.01
  5. Step 5: Solve for x
    x = 4,757,967.01/3,398.73
  6. Step 6: Final answer
    x = 1,399.92

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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.