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Finding the Fourth Proportional to 6,486.77, 8,951.24 and 3,654.02

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Solution

The fourth proportional to 6,486.77, 8,951.24 and 3,654.02 is: 5,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.77 : 8,951.24 = 3,654.02 : x
  2. Step 2: Convert to fraction form
    6,486.77/8,951.24 = 3,654.02/x
  3. Step 3: Cross multiply
    6,486.77x = 8,951.24 × 3,654.02
  4. Step 4: Simplify right side
    6,486.77x = 32,707,991.71
  5. Step 5: Solve for x
    x = 32,707,991.71/6,486.77
  6. Step 6: Final answer
    x = 5,042.26

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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.