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Finding the Fourth Proportional to 3,815.64, 5,264.60 and 2,243.44

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Solution

The fourth proportional to 3,815.64, 5,264.60 and 2,243.44 is: 3,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.64 : 5,264.60 = 2,243.44 : x
  2. Step 2: Convert to fraction form
    3,815.64/5,264.60 = 2,243.44/x
  3. Step 3: Cross multiply
    3,815.64x = 5,264.60 × 2,243.44
  4. Step 4: Simplify right side
    3,815.64x = 11,810,814.22
  5. Step 5: Solve for x
    x = 11,810,814.22/3,815.64
  6. Step 6: Final answer
    x = 3,095.37

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