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Finding the Fourth Proportional to 6,486.44, 8,951.10 and 3,653.96

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Solution

The fourth proportional to 6,486.44, 8,951.10 and 3,653.96 is: 5,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.44 : 8,951.10 = 3,653.96 : x
  2. Step 2: Convert to fraction form
    6,486.44/8,951.10 = 3,653.96/x
  3. Step 3: Cross multiply
    6,486.44x = 8,951.10 × 3,653.96
  4. Step 4: Simplify right side
    6,486.44x = 32,706,961.36
  5. Step 5: Solve for x
    x = 32,706,961.36/6,486.44
  6. Step 6: Final answer
    x = 5,042.36

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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.