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Finding the Fourth Proportional to 3,843.35, 5,765.53 and 1,378.45

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Solution

The fourth proportional to 3,843.35, 5,765.53 and 1,378.45 is: 2,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.35 : 5,765.53 = 1,378.45 : x
  2. Step 2: Convert to fraction form
    3,843.35/5,765.53 = 1,378.45/x
  3. Step 3: Cross multiply
    3,843.35x = 5,765.53 × 1,378.45
  4. Step 4: Simplify right side
    3,843.35x = 7,947,482.14
  5. Step 5: Solve for x
    x = 7,947,482.14/3,843.35
  6. Step 6: Final answer
    x = 2,067.85

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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.