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Finding the Fourth Proportional to 3,364.38, 5,047.05 and 1,632.78

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Solution

The fourth proportional to 3,364.38, 5,047.05 and 1,632.78 is: 2,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.38 : 5,047.05 = 1,632.78 : x
  2. Step 2: Convert to fraction form
    3,364.38/5,047.05 = 1,632.78/x
  3. Step 3: Cross multiply
    3,364.38x = 5,047.05 × 1,632.78
  4. Step 4: Simplify right side
    3,364.38x = 8,240,722.30
  5. Step 5: Solve for x
    x = 8,240,722.30/3,364.38
  6. Step 6: Final answer
    x = 2,449.40

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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.