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Finding the Fourth Proportional to 3,736.38, 5,601.84 and 1,886.64

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Solution

The fourth proportional to 3,736.38, 5,601.84 and 1,886.64 is: 2,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.38 : 5,601.84 = 1,886.64 : x
  2. Step 2: Convert to fraction form
    3,736.38/5,601.84 = 1,886.64/x
  3. Step 3: Cross multiply
    3,736.38x = 5,601.84 × 1,886.64
  4. Step 4: Simplify right side
    3,736.38x = 10,568,655.42
  5. Step 5: Solve for x
    x = 10,568,655.42/3,736.38
  6. Step 6: Final answer
    x = 2,828.58

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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.