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Finding the Fourth Proportional to 5,900.25, 8,143.16 and 3,803.97

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Solution

The fourth proportional to 5,900.25, 8,143.16 and 3,803.97 is: 5,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.25 : 8,143.16 = 3,803.97 : x
  2. Step 2: Convert to fraction form
    5,900.25/8,143.16 = 3,803.97/x
  3. Step 3: Cross multiply
    5,900.25x = 8,143.16 × 3,803.97
  4. Step 4: Simplify right side
    5,900.25x = 30,976,317.33
  5. Step 5: Solve for x
    x = 30,976,317.33/5,900.25
  6. Step 6: Final answer
    x = 5,250.00

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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.