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Finding the Fourth Proportional to 5,049.64, 6,965.22 and 2,953

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Solution

The fourth proportional to 5,049.64, 6,965.22 and 2,953 is: 4,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.64 : 6,965.22 = 2,953 : x
  2. Step 2: Convert to fraction form
    5,049.64/6,965.22 = 2,953/x
  3. Step 3: Cross multiply
    5,049.64x = 6,965.22 × 2,953
  4. Step 4: Simplify right side
    5,049.64x = 20,568,294.66
  5. Step 5: Solve for x
    x = 20,568,294.66/5,049.64
  6. Step 6: Final answer
    x = 4,073.22

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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.