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Finding the Fourth Proportional to 4,766.83, 7,138.06 and 2,820.43

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Solution

The fourth proportional to 4,766.83, 7,138.06 and 2,820.43 is: 4,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.83 : 7,138.06 = 2,820.43 : x
  2. Step 2: Convert to fraction form
    4,766.83/7,138.06 = 2,820.43/x
  3. Step 3: Cross multiply
    4,766.83x = 7,138.06 × 2,820.43
  4. Step 4: Simplify right side
    4,766.83x = 20,132,398.57
  5. Step 5: Solve for x
    x = 20,132,398.57/4,766.83
  6. Step 6: Final answer
    x = 4,223.44

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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.