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Finding the Fourth Proportional to 6,256.91, 8,633.90 and 3,738.53

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Solution

The fourth proportional to 6,256.91, 8,633.90 and 3,738.53 is: 5,158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.91 : 8,633.90 = 3,738.53 : x
  2. Step 2: Convert to fraction form
    6,256.91/8,633.90 = 3,738.53/x
  3. Step 3: Cross multiply
    6,256.91x = 8,633.90 × 3,738.53
  4. Step 4: Simplify right side
    6,256.91x = 32,278,032.30
  5. Step 5: Solve for x
    x = 32,278,032.30/6,256.91
  6. Step 6: Final answer
    x = 5,158.79

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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.