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Finding the Fourth Proportional to 3,364.71, 5,047.47 and 3,180.39

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Solution

The fourth proportional to 3,364.71, 5,047.47 and 3,180.39 is: 4,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.71 : 5,047.47 = 3,180.39 : x
  2. Step 2: Convert to fraction form
    3,364.71/5,047.47 = 3,180.39/x
  3. Step 3: Cross multiply
    3,364.71x = 5,047.47 × 3,180.39
  4. Step 4: Simplify right side
    3,364.71x = 16,052,923.11
  5. Step 5: Solve for x
    x = 16,052,923.11/3,364.71
  6. Step 6: Final answer
    x = 4,770.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.