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Finding the Fourth Proportional to 4,766.63, 7,150.64 and 1,806.20

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Solution

The fourth proportional to 4,766.63, 7,150.64 and 1,806.20 is: 2,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.63 : 7,150.64 = 1,806.20 : x
  2. Step 2: Convert to fraction form
    4,766.63/7,150.64 = 1,806.20/x
  3. Step 3: Cross multiply
    4,766.63x = 7,150.64 × 1,806.20
  4. Step 4: Simplify right side
    4,766.63x = 12,915,441.18
  5. Step 5: Solve for x
    x = 12,915,441.18/4,766.63
  6. Step 6: Final answer
    x = 2,709.55

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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.