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Finding the Fourth Proportional to 6,347.68, 8,759.82 and 3,694.39

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Solution

The fourth proportional to 6,347.68, 8,759.82 and 3,694.39 is: 5,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.68 : 8,759.82 = 3,694.39 : x
  2. Step 2: Convert to fraction form
    6,347.68/8,759.82 = 3,694.39/x
  3. Step 3: Cross multiply
    6,347.68x = 8,759.82 × 3,694.39
  4. Step 4: Simplify right side
    6,347.68x = 32,362,191.41
  5. Step 5: Solve for x
    x = 32,362,191.41/6,347.68
  6. Step 6: Final answer
    x = 5,098.27

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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.