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Finding the Fourth Proportional to 6,049.65, 8,350.56 and 3,815.25

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Solution

The fourth proportional to 6,049.65, 8,350.56 and 3,815.25 is: 5,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.65 : 8,350.56 = 3,815.25 : x
  2. Step 2: Convert to fraction form
    6,049.65/8,350.56 = 3,815.25/x
  3. Step 3: Cross multiply
    6,049.65x = 8,350.56 × 3,815.25
  4. Step 4: Simplify right side
    6,049.65x = 31,859,474.04
  5. Step 5: Solve for x
    x = 31,859,474.04/6,049.65
  6. Step 6: Final answer
    x = 5,266.33

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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.