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Finding the Fourth Proportional to 3,192.48, 4,407.76 and 2,855.33

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Solution

The fourth proportional to 3,192.48, 4,407.76 and 2,855.33 is: 3,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.48 : 4,407.76 = 2,855.33 : x
  2. Step 2: Convert to fraction form
    3,192.48/4,407.76 = 2,855.33/x
  3. Step 3: Cross multiply
    3,192.48x = 4,407.76 × 2,855.33
  4. Step 4: Simplify right side
    3,192.48x = 12,585,609.36
  5. Step 5: Solve for x
    x = 12,585,609.36/3,192.48
  6. Step 6: Final answer
    x = 3,942.27

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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.