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Finding the Fourth Proportional to 5,287.74, 7,297.19 and 3,049.82

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Solution

The fourth proportional to 5,287.74, 7,297.19 and 3,049.82 is: 4,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.74 : 7,297.19 = 3,049.82 : x
  2. Step 2: Convert to fraction form
    5,287.74/7,297.19 = 3,049.82/x
  3. Step 3: Cross multiply
    5,287.74x = 7,297.19 × 3,049.82
  4. Step 4: Simplify right side
    5,287.74x = 22,255,064.27
  5. Step 5: Solve for x
    x = 22,255,064.27/5,287.74
  6. Step 6: Final answer
    x = 4,208.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.