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Finding the Fourth Proportional to 4,204.68, 5,796.11 and 3,457.34

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Solution

The fourth proportional to 4,204.68, 5,796.11 and 3,457.34 is: 4,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.68 : 5,796.11 = 3,457.34 : x
  2. Step 2: Convert to fraction form
    4,204.68/5,796.11 = 3,457.34/x
  3. Step 3: Cross multiply
    4,204.68x = 5,796.11 × 3,457.34
  4. Step 4: Simplify right side
    4,204.68x = 20,039,122.95
  5. Step 5: Solve for x
    x = 20,039,122.95/4,204.68
  6. Step 6: Final answer
    x = 4,765.91

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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.