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Finding the Fourth Proportional to 5,530.22, 7,631.70 and 3,046.22

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Solution

The fourth proportional to 5,530.22, 7,631.70 and 3,046.22 is: 4,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.22 : 7,631.70 = 3,046.22 : x
  2. Step 2: Convert to fraction form
    5,530.22/7,631.70 = 3,046.22/x
  3. Step 3: Cross multiply
    5,530.22x = 7,631.70 × 3,046.22
  4. Step 4: Simplify right side
    5,530.22x = 23,247,833.35
  5. Step 5: Solve for x
    x = 23,247,833.35/5,530.22
  6. Step 6: Final answer
    x = 4,203.78

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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.