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Finding the Fourth Proportional to 4,766.42, 7,149.99 and 1,434.41

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Solution

The fourth proportional to 4,766.42, 7,149.99 and 1,434.41 is: 2,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.42 : 7,149.99 = 1,434.41 : x
  2. Step 2: Convert to fraction form
    4,766.42/7,149.99 = 1,434.41/x
  3. Step 3: Cross multiply
    4,766.42x = 7,149.99 × 1,434.41
  4. Step 4: Simplify right side
    4,766.42x = 10,256,040.41
  5. Step 5: Solve for x
    x = 10,256,040.41/4,766.42
  6. Step 6: Final answer
    x = 2,151.73

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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.