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Finding the Fourth Proportional to 4,233.09, 5,842.36 and 4,046.22

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Solution

The fourth proportional to 4,233.09, 5,842.36 and 4,046.22 is: 5,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.09 : 5,842.36 = 4,046.22 : x
  2. Step 2: Convert to fraction form
    4,233.09/5,842.36 = 4,046.22/x
  3. Step 3: Cross multiply
    4,233.09x = 5,842.36 × 4,046.22
  4. Step 4: Simplify right side
    4,233.09x = 23,639,478.94
  5. Step 5: Solve for x
    x = 23,639,478.94/4,233.09
  6. Step 6: Final answer
    x = 5,584.44

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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.