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Finding the Fourth Proportional to 3,803.47, 5,677.68 and 3,286.79

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Solution

The fourth proportional to 3,803.47, 5,677.68 and 3,286.79 is: 4,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.47 : 5,677.68 = 3,286.79 : x
  2. Step 2: Convert to fraction form
    3,803.47/5,677.68 = 3,286.79/x
  3. Step 3: Cross multiply
    3,803.47x = 5,677.68 × 3,286.79
  4. Step 4: Simplify right side
    3,803.47x = 18,661,341.85
  5. Step 5: Solve for x
    x = 18,661,341.85/3,803.47
  6. Step 6: Final answer
    x = 4,906.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.