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Finding the Fourth Proportional to 6,133.64, 8,464.92 and 3,481.76

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Solution

The fourth proportional to 6,133.64, 8,464.92 and 3,481.76 is: 4,805.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.64 : 8,464.92 = 3,481.76 : x
  2. Step 2: Convert to fraction form
    6,133.64/8,464.92 = 3,481.76/x
  3. Step 3: Cross multiply
    6,133.64x = 8,464.92 × 3,481.76
  4. Step 4: Simplify right side
    6,133.64x = 29,472,819.86
  5. Step 5: Solve for x
    x = 29,472,819.86/6,133.64
  6. Step 6: Final answer
    x = 4,805.11

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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.