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Finding the Fourth Proportional to 3,640.25, 5,461.20 and 1,331.75

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Solution

The fourth proportional to 3,640.25, 5,461.20 and 1,331.75 is: 1,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.25 : 5,461.20 = 1,331.75 : x
  2. Step 2: Convert to fraction form
    3,640.25/5,461.20 = 1,331.75/x
  3. Step 3: Cross multiply
    3,640.25x = 5,461.20 × 1,331.75
  4. Step 4: Simplify right side
    3,640.25x = 7,272,953.10
  5. Step 5: Solve for x
    x = 7,272,953.10/3,640.25
  6. Step 6: Final answer
    x = 1,997.93

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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.