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Finding the Fourth Proportional to 3,128.47, 4,294.29 and 2,766.46

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Solution

The fourth proportional to 3,128.47, 4,294.29 and 2,766.46 is: 3,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.47 : 4,294.29 = 2,766.46 : x
  2. Step 2: Convert to fraction form
    3,128.47/4,294.29 = 2,766.46/x
  3. Step 3: Cross multiply
    3,128.47x = 4,294.29 × 2,766.46
  4. Step 4: Simplify right side
    3,128.47x = 11,879,946.21
  5. Step 5: Solve for x
    x = 11,879,946.21/3,128.47
  6. Step 6: Final answer
    x = 3,797.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.