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Finding the Fourth Proportional to 6,484.43, 8,949.29 and 3,651.91

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Solution

The fourth proportional to 6,484.43, 8,949.29 and 3,651.91 is: 5,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.43 : 8,949.29 = 3,651.91 : x
  2. Step 2: Convert to fraction form
    6,484.43/8,949.29 = 3,651.91/x
  3. Step 3: Cross multiply
    6,484.43x = 8,949.29 × 3,651.91
  4. Step 4: Simplify right side
    6,484.43x = 32,681,961.01
  5. Step 5: Solve for x
    x = 32,681,961.01/6,484.43
  6. Step 6: Final answer
    x = 5,040.06

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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.