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Finding the Fourth Proportional to 5,742.22, 7,922.28 and 3,223.98

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Solution

The fourth proportional to 5,742.22, 7,922.28 and 3,223.98 is: 4,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.22 : 7,922.28 = 3,223.98 : x
  2. Step 2: Convert to fraction form
    5,742.22/7,922.28 = 3,223.98/x
  3. Step 3: Cross multiply
    5,742.22x = 7,922.28 × 3,223.98
  4. Step 4: Simplify right side
    5,742.22x = 25,541,272.27
  5. Step 5: Solve for x
    x = 25,541,272.27/5,742.22
  6. Step 6: Final answer
    x = 4,447.98

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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.