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Finding the Fourth Proportional to 6,474.44, 8,934.40 and 3,679.88

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Solution

The fourth proportional to 6,474.44, 8,934.40 and 3,679.88 is: 5,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.44 : 8,934.40 = 3,679.88 : x
  2. Step 2: Convert to fraction form
    6,474.44/8,934.40 = 3,679.88/x
  3. Step 3: Cross multiply
    6,474.44x = 8,934.40 × 3,679.88
  4. Step 4: Simplify right side
    6,474.44x = 32,877,519.87
  5. Step 5: Solve for x
    x = 32,877,519.87/6,474.44
  6. Step 6: Final answer
    x = 5,078.05

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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.