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Finding the Fourth Proportional to 4,766.54, 7,151.84 and 2,576.80

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Solution

The fourth proportional to 4,766.54, 7,151.84 and 2,576.80 is: 3,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.54 : 7,151.84 = 2,576.80 : x
  2. Step 2: Convert to fraction form
    4,766.54/7,151.84 = 2,576.80/x
  3. Step 3: Cross multiply
    4,766.54x = 7,151.84 × 2,576.80
  4. Step 4: Simplify right side
    4,766.54x = 18,428,861.31
  5. Step 5: Solve for x
    x = 18,428,861.31/4,766.54
  6. Step 6: Final answer
    x = 3,866.30

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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.