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Finding the Fourth Proportional to 3,398.33, 5,089.28 and 1,933.04

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Solution

The fourth proportional to 3,398.33, 5,089.28 and 1,933.04 is: 2,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.33 : 5,089.28 = 1,933.04 : x
  2. Step 2: Convert to fraction form
    3,398.33/5,089.28 = 1,933.04/x
  3. Step 3: Cross multiply
    3,398.33x = 5,089.28 × 1,933.04
  4. Step 4: Simplify right side
    3,398.33x = 9,837,746.70
  5. Step 5: Solve for x
    x = 9,837,746.70/3,398.33
  6. Step 6: Final answer
    x = 2,894.88

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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.