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Finding the Fourth Proportional to 3,858.44, 5,785.67 and 1,884.16

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Solution

The fourth proportional to 3,858.44, 5,785.67 and 1,884.16 is: 2,825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.44 : 5,785.67 = 1,884.16 : x
  2. Step 2: Convert to fraction form
    3,858.44/5,785.67 = 1,884.16/x
  3. Step 3: Cross multiply
    3,858.44x = 5,785.67 × 1,884.16
  4. Step 4: Simplify right side
    3,858.44x = 10,901,125.80
  5. Step 5: Solve for x
    x = 10,901,125.80/3,858.44
  6. Step 6: Final answer
    x = 2,825.27

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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.