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Finding the Fourth Proportional to 3,952.22, 5,452.71 and 2,296.22

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Solution

The fourth proportional to 3,952.22, 5,452.71 and 2,296.22 is: 3,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.22 : 5,452.71 = 2,296.22 : x
  2. Step 2: Convert to fraction form
    3,952.22/5,452.71 = 2,296.22/x
  3. Step 3: Cross multiply
    3,952.22x = 5,452.71 × 2,296.22
  4. Step 4: Simplify right side
    3,952.22x = 12,520,621.76
  5. Step 5: Solve for x
    x = 12,520,621.76/3,952.22
  6. Step 6: Final answer
    x = 3,168.00

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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.