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Finding the Fourth Proportional to 5,180.69, 7,149.31 and 3,056.22

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Solution

The fourth proportional to 5,180.69, 7,149.31 and 3,056.22 is: 4,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.69 : 7,149.31 = 3,056.22 : x
  2. Step 2: Convert to fraction form
    5,180.69/7,149.31 = 3,056.22/x
  3. Step 3: Cross multiply
    5,180.69x = 7,149.31 × 3,056.22
  4. Step 4: Simplify right side
    5,180.69x = 21,849,864.21
  5. Step 5: Solve for x
    x = 21,849,864.21/5,180.69
  6. Step 6: Final answer
    x = 4,217.56

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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.