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Finding the Fourth Proportional to 5,031.30, 6,942.16 and 2,906.80

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Solution

The fourth proportional to 5,031.30, 6,942.16 and 2,906.80 is: 4,010.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031.30 : 6,942.16 = 2,906.80 : x
  2. Step 2: Convert to fraction form
    5,031.30/6,942.16 = 2,906.80/x
  3. Step 3: Cross multiply
    5,031.30x = 6,942.16 × 2,906.80
  4. Step 4: Simplify right side
    5,031.30x = 20,179,479.66
  5. Step 5: Solve for x
    x = 20,179,479.66/5,031.30
  6. Step 6: Final answer
    x = 4,010.79

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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.