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Finding the Fourth Proportional to 5,290.25, 7,935.17 and 2,003.27

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Solution

The fourth proportional to 5,290.25, 7,935.17 and 2,003.27 is: 3,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.25 : 7,935.17 = 2,003.27 : x
  2. Step 2: Convert to fraction form
    5,290.25/7,935.17 = 2,003.27/x
  3. Step 3: Cross multiply
    5,290.25x = 7,935.17 × 2,003.27
  4. Step 4: Simplify right side
    5,290.25x = 15,896,238.31
  5. Step 5: Solve for x
    x = 15,896,238.31/5,290.25
  6. Step 6: Final answer
    x = 3,004.82

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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.