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Finding the Fourth Proportional to 4,766.94, 7,151.31 and 1,806.27

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Solution

The fourth proportional to 4,766.94, 7,151.31 and 1,806.27 is: 2,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.94 : 7,151.31 = 1,806.27 : x
  2. Step 2: Convert to fraction form
    4,766.94/7,151.31 = 1,806.27/x
  3. Step 3: Cross multiply
    4,766.94x = 7,151.31 × 1,806.27
  4. Step 4: Simplify right side
    4,766.94x = 12,917,151.93
  5. Step 5: Solve for x
    x = 12,917,151.93/4,766.94
  6. Step 6: Final answer
    x = 2,709.74

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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.