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Finding the Fourth Proportional to 5,536.22, 7,640.07 and 3,052.22

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Solution

The fourth proportional to 5,536.22, 7,640.07 and 3,052.22 is: 4,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.22 : 7,640.07 = 3,052.22 : x
  2. Step 2: Convert to fraction form
    5,536.22/7,640.07 = 3,052.22/x
  3. Step 3: Cross multiply
    5,536.22x = 7,640.07 × 3,052.22
  4. Step 4: Simplify right side
    5,536.22x = 23,319,174.46
  5. Step 5: Solve for x
    x = 23,319,174.46/5,536.22
  6. Step 6: Final answer
    x = 4,212.11

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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.