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Finding the Fourth Proportional to 5,760.09, 8,640.50 and 2,297.25

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Solution

The fourth proportional to 5,760.09, 8,640.50 and 2,297.25 is: 3,446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.09 : 8,640.50 = 2,297.25 : x
  2. Step 2: Convert to fraction form
    5,760.09/8,640.50 = 2,297.25/x
  3. Step 3: Cross multiply
    5,760.09x = 8,640.50 × 2,297.25
  4. Step 4: Simplify right side
    5,760.09x = 19,849,377.14
  5. Step 5: Solve for x
    x = 19,849,377.14/5,760.09
  6. Step 6: Final answer
    x = 3,446.02

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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.