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Finding the Fourth Proportional to 6,820.56, 10,220.94 and 3,697.92

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Solution

The fourth proportional to 6,820.56, 10,220.94 and 3,697.92 is: 5,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.56 : 10,220.94 = 3,697.92 : x
  2. Step 2: Convert to fraction form
    6,820.56/10,220.94 = 3,697.92/x
  3. Step 3: Cross multiply
    6,820.56x = 10,220.94 × 3,697.92
  4. Step 4: Simplify right side
    6,820.56x = 37,796,218.44
  5. Step 5: Solve for x
    x = 37,796,218.44/6,820.56
  6. Step 6: Final answer
    x = 5,541.51

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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.