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Finding the Fourth Proportional to 4,298.22, 5,892.92 and 4,220.46

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Solution

The fourth proportional to 4,298.22, 5,892.92 and 4,220.46 is: 5,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.22 : 5,892.92 = 4,220.46 : x
  2. Step 2: Convert to fraction form
    4,298.22/5,892.92 = 4,220.46/x
  3. Step 3: Cross multiply
    4,298.22x = 5,892.92 × 4,220.46
  4. Step 4: Simplify right side
    4,298.22x = 24,870,812.04
  5. Step 5: Solve for x
    x = 24,870,812.04/4,298.22
  6. Step 6: Final answer
    x = 5,786.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.