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Finding the Fourth Proportional to 3,785.87, 5,674.59 and 2,858.42

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Solution

The fourth proportional to 3,785.87, 5,674.59 and 2,858.42 is: 4,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.87 : 5,674.59 = 2,858.42 : x
  2. Step 2: Convert to fraction form
    3,785.87/5,674.59 = 2,858.42/x
  3. Step 3: Cross multiply
    3,785.87x = 5,674.59 × 2,858.42
  4. Step 4: Simplify right side
    3,785.87x = 16,220,375.73
  5. Step 5: Solve for x
    x = 16,220,375.73/3,785.87
  6. Step 6: Final answer
    x = 4,284.45

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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.