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Finding the Fourth Proportional to 6,286.86, 8,677.41 and 3,635.91

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Solution

The fourth proportional to 6,286.86, 8,677.41 and 3,635.91 is: 5,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.86 : 8,677.41 = 3,635.91 : x
  2. Step 2: Convert to fraction form
    6,286.86/8,677.41 = 3,635.91/x
  3. Step 3: Cross multiply
    6,286.86x = 8,677.41 × 3,635.91
  4. Step 4: Simplify right side
    6,286.86x = 31,550,281.79
  5. Step 5: Solve for x
    x = 31,550,281.79/6,286.86
  6. Step 6: Final answer
    x = 5,018.45

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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.