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Finding the Fourth Proportional to 5,049.38, 6,968.14 and 2,953.91

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Solution

The fourth proportional to 5,049.38, 6,968.14 and 2,953.91 is: 4,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.38 : 6,968.14 = 2,953.91 : x
  2. Step 2: Convert to fraction form
    5,049.38/6,968.14 = 2,953.91/x
  3. Step 3: Cross multiply
    5,049.38x = 6,968.14 × 2,953.91
  4. Step 4: Simplify right side
    5,049.38x = 20,583,216.20
  5. Step 5: Solve for x
    x = 20,583,216.20/5,049.38
  6. Step 6: Final answer
    x = 4,076.39

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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.