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Finding the Fourth Proportional to 5,201.71, 7,176.22 and 3,782.30

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Solution

The fourth proportional to 5,201.71, 7,176.22 and 3,782.30 is: 5,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.71 : 7,176.22 = 3,782.30 : x
  2. Step 2: Convert to fraction form
    5,201.71/7,176.22 = 3,782.30/x
  3. Step 3: Cross multiply
    5,201.71x = 7,176.22 × 3,782.30
  4. Step 4: Simplify right side
    5,201.71x = 27,142,571.57
  5. Step 5: Solve for x
    x = 27,142,571.57/5,201.71
  6. Step 6: Final answer
    x = 5,218.01

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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.