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Finding the Fourth Proportional to 5,222.22, 7,207.92 and 3,546.42

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Solution

The fourth proportional to 5,222.22, 7,207.92 and 3,546.42 is: 4,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.22 : 7,207.92 = 3,546.42 : x
  2. Step 2: Convert to fraction form
    5,222.22/7,207.92 = 3,546.42/x
  3. Step 3: Cross multiply
    5,222.22x = 7,207.92 × 3,546.42
  4. Step 4: Simplify right side
    5,222.22x = 25,562,311.65
  5. Step 5: Solve for x
    x = 25,562,311.65/5,222.22
  6. Step 6: Final answer
    x = 4,894.91

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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.