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Finding the Fourth Proportional to 3,650.26, 5,470.62 and 3,186.86

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Solution

The fourth proportional to 3,650.26, 5,470.62 and 3,186.86 is: 4,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.26 : 5,470.62 = 3,186.86 : x
  2. Step 2: Convert to fraction form
    3,650.26/5,470.62 = 3,186.86/x
  3. Step 3: Cross multiply
    3,650.26x = 5,470.62 × 3,186.86
  4. Step 4: Simplify right side
    3,650.26x = 17,434,100.05
  5. Step 5: Solve for x
    x = 17,434,100.05/3,650.26
  6. Step 6: Final answer
    x = 4,776.13

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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.