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Finding the Fourth Proportional to 3,946.86, 5,919.01 and 1,447.47

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Solution

The fourth proportional to 3,946.86, 5,919.01 and 1,447.47 is: 2,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.86 : 5,919.01 = 1,447.47 : x
  2. Step 2: Convert to fraction form
    3,946.86/5,919.01 = 1,447.47/x
  3. Step 3: Cross multiply
    3,946.86x = 5,919.01 × 1,447.47
  4. Step 4: Simplify right side
    3,946.86x = 8,567,585.79
  5. Step 5: Solve for x
    x = 8,567,585.79/3,946.86
  6. Step 6: Final answer
    x = 2,170.73

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Why These Related Problems?

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