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Finding the Fourth Proportional to 3,774.38, 5,206.83 and 2,933.60

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Solution

The fourth proportional to 3,774.38, 5,206.83 and 2,933.60 is: 4,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.38 : 5,206.83 = 2,933.60 : x
  2. Step 2: Convert to fraction form
    3,774.38/5,206.83 = 2,933.60/x
  3. Step 3: Cross multiply
    3,774.38x = 5,206.83 × 2,933.60
  4. Step 4: Simplify right side
    3,774.38x = 15,274,756.49
  5. Step 5: Solve for x
    x = 15,274,756.49/3,774.38
  6. Step 6: Final answer
    x = 4,046.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.