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Finding the Fourth Proportional to 3,107.87, 4,288.28 and 1,849.23

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Solution

The fourth proportional to 3,107.87, 4,288.28 and 1,849.23 is: 2,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.87 : 4,288.28 = 1,849.23 : x
  2. Step 2: Convert to fraction form
    3,107.87/4,288.28 = 1,849.23/x
  3. Step 3: Cross multiply
    3,107.87x = 4,288.28 × 1,849.23
  4. Step 4: Simplify right side
    3,107.87x = 7,930,016.02
  5. Step 5: Solve for x
    x = 7,930,016.02/3,107.87
  6. Step 6: Final answer
    x = 2,551.59

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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.