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Finding the Fourth Proportional to 3,294.38, 4,933.65 and 1,884.52

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Solution

The fourth proportional to 3,294.38, 4,933.65 and 1,884.52 is: 2,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.38 : 4,933.65 = 1,884.52 : x
  2. Step 2: Convert to fraction form
    3,294.38/4,933.65 = 1,884.52/x
  3. Step 3: Cross multiply
    3,294.38x = 4,933.65 × 1,884.52
  4. Step 4: Simplify right side
    3,294.38x = 9,297,552.68
  5. Step 5: Solve for x
    x = 9,297,552.68/3,294.38
  6. Step 6: Final answer
    x = 2,822.25

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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.