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Finding the Fourth Proportional to 3,794.28, 5,686.26 and 1,842.84

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Solution

The fourth proportional to 3,794.28, 5,686.26 and 1,842.84 is: 2,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.28 : 5,686.26 = 1,842.84 : x
  2. Step 2: Convert to fraction form
    3,794.28/5,686.26 = 1,842.84/x
  3. Step 3: Cross multiply
    3,794.28x = 5,686.26 × 1,842.84
  4. Step 4: Simplify right side
    3,794.28x = 10,478,867.38
  5. Step 5: Solve for x
    x = 10,478,867.38/3,794.28
  6. Step 6: Final answer
    x = 2,761.75

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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.