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Finding the Fourth Proportional to 6,086.69, 8,399.45 and 3,534.74

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Solution

The fourth proportional to 6,086.69, 8,399.45 and 3,534.74 is: 4,877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.69 : 8,399.45 = 3,534.74 : x
  2. Step 2: Convert to fraction form
    6,086.69/8,399.45 = 3,534.74/x
  3. Step 3: Cross multiply
    6,086.69x = 8,399.45 × 3,534.74
  4. Step 4: Simplify right side
    6,086.69x = 29,689,850.35
  5. Step 5: Solve for x
    x = 29,689,850.35/6,086.69
  6. Step 6: Final answer
    x = 4,877.83

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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.