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Finding the Fourth Proportional to 5,407.22, 8,111.92 and 2,287.22

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Solution

The fourth proportional to 5,407.22, 8,111.92 and 2,287.22 is: 3,431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.22 : 8,111.92 = 2,287.22 : x
  2. Step 2: Convert to fraction form
    5,407.22/8,111.92 = 2,287.22/x
  3. Step 3: Cross multiply
    5,407.22x = 8,111.92 × 2,287.22
  4. Step 4: Simplify right side
    5,407.22x = 18,553,699.38
  5. Step 5: Solve for x
    x = 18,553,699.38/5,407.22
  6. Step 6: Final answer
    x = 3,431.29

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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.