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Finding the Fourth Proportional to 2,914.72, 3,996.16 and 2,862.22

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Solution

The fourth proportional to 2,914.72, 3,996.16 and 2,862.22 is: 3,924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.72 : 3,996.16 = 2,862.22 : x
  2. Step 2: Convert to fraction form
    2,914.72/3,996.16 = 2,862.22/x
  3. Step 3: Cross multiply
    2,914.72x = 3,996.16 × 2,862.22
  4. Step 4: Simplify right side
    2,914.72x = 11,437,879.42
  5. Step 5: Solve for x
    x = 11,437,879.42/2,914.72
  6. Step 6: Final answer
    x = 3,924.18

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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.