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Finding the Fourth Proportional to 5,997.90, 8,275.32 and 3,640.80

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Solution

The fourth proportional to 5,997.90, 8,275.32 and 3,640.80 is: 5,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.90 : 8,275.32 = 3,640.80 : x
  2. Step 2: Convert to fraction form
    5,997.90/8,275.32 = 3,640.80/x
  3. Step 3: Cross multiply
    5,997.90x = 8,275.32 × 3,640.80
  4. Step 4: Simplify right side
    5,997.90x = 30,128,785.06
  5. Step 5: Solve for x
    x = 30,128,785.06/5,997.90
  6. Step 6: Final answer
    x = 5,023.22

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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.