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Finding the Fourth Proportional to 4,711.75, 7,067.76 and 1,249

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Solution

The fourth proportional to 4,711.75, 7,067.76 and 1,249 is: 1,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.75 : 7,067.76 = 1,249 : x
  2. Step 2: Convert to fraction form
    4,711.75/7,067.76 = 1,249/x
  3. Step 3: Cross multiply
    4,711.75x = 7,067.76 × 1,249
  4. Step 4: Simplify right side
    4,711.75x = 8,827,632.24
  5. Step 5: Solve for x
    x = 8,827,632.24/4,711.75
  6. Step 6: Final answer
    x = 1,873.54

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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.