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Finding the Fourth Proportional to 5,943.67, 8,201.67 and 3,291.01

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Solution

The fourth proportional to 5,943.67, 8,201.67 and 3,291.01 is: 4,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.67 : 8,201.67 = 3,291.01 : x
  2. Step 2: Convert to fraction form
    5,943.67/8,201.67 = 3,291.01/x
  3. Step 3: Cross multiply
    5,943.67x = 8,201.67 × 3,291.01
  4. Step 4: Simplify right side
    5,943.67x = 26,991,777.99
  5. Step 5: Solve for x
    x = 26,991,777.99/5,943.67
  6. Step 6: Final answer
    x = 4,541.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.