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Finding the Fourth Proportional to 5,083.97, 7,640.27 and 3,004.95

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Solution

The fourth proportional to 5,083.97, 7,640.27 and 3,004.95 is: 4,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.97 : 7,640.27 = 3,004.95 : x
  2. Step 2: Convert to fraction form
    5,083.97/7,640.27 = 3,004.95/x
  3. Step 3: Cross multiply
    5,083.97x = 7,640.27 × 3,004.95
  4. Step 4: Simplify right side
    5,083.97x = 22,958,628.16
  5. Step 5: Solve for x
    x = 22,958,628.16/5,083.97
  6. Step 6: Final answer
    x = 4,515.89

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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.