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Finding the Fourth Proportional to 6,151.64, 8,489.22 and 3,357.14

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Solution

The fourth proportional to 6,151.64, 8,489.22 and 3,357.14 is: 4,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.64 : 8,489.22 = 3,357.14 : x
  2. Step 2: Convert to fraction form
    6,151.64/8,489.22 = 3,357.14/x
  3. Step 3: Cross multiply
    6,151.64x = 8,489.22 × 3,357.14
  4. Step 4: Simplify right side
    6,151.64x = 28,499,500.03
  5. Step 5: Solve for x
    x = 28,499,500.03/6,151.64
  6. Step 6: Final answer
    x = 4,632.83

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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.