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Finding the Fourth Proportional to 5,849.53, 8,072.74 and 3,297.92

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Solution

The fourth proportional to 5,849.53, 8,072.74 and 3,297.92 is: 4,551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.53 : 8,072.74 = 3,297.92 : x
  2. Step 2: Convert to fraction form
    5,849.53/8,072.74 = 3,297.92/x
  3. Step 3: Cross multiply
    5,849.53x = 8,072.74 × 3,297.92
  4. Step 4: Simplify right side
    5,849.53x = 26,623,202.09
  5. Step 5: Solve for x
    x = 26,623,202.09/5,849.53
  6. Step 6: Final answer
    x = 4,551.34

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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.