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Finding the Fourth Proportional to 6,137.32, 8,469.38 and 3,342.84

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Solution

The fourth proportional to 6,137.32, 8,469.38 and 3,342.84 is: 4,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.32 : 8,469.38 = 3,342.84 : x
  2. Step 2: Convert to fraction form
    6,137.32/8,469.38 = 3,342.84/x
  3. Step 3: Cross multiply
    6,137.32x = 8,469.38 × 3,342.84
  4. Step 4: Simplify right side
    6,137.32x = 28,311,782.24
  5. Step 5: Solve for x
    x = 28,311,782.24/6,137.32
  6. Step 6: Final answer
    x = 4,613.05

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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.