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Finding the Fourth Proportional to 6,294.14, 8,685.89 and 3,499.64

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Solution

The fourth proportional to 6,294.14, 8,685.89 and 3,499.64 is: 4,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.14 : 8,685.89 = 3,499.64 : x
  2. Step 2: Convert to fraction form
    6,294.14/8,685.89 = 3,499.64/x
  3. Step 3: Cross multiply
    6,294.14x = 8,685.89 × 3,499.64
  4. Step 4: Simplify right side
    6,294.14x = 30,397,488.08
  5. Step 5: Solve for x
    x = 30,397,488.08/6,294.14
  6. Step 6: Final answer
    x = 4,829.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.