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Finding the Fourth Proportional to 3,766.78, 5,648.50 and 2,011.47

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Solution

The fourth proportional to 3,766.78, 5,648.50 and 2,011.47 is: 3,016.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.78 : 5,648.50 = 2,011.47 : x
  2. Step 2: Convert to fraction form
    3,766.78/5,648.50 = 2,011.47/x
  3. Step 3: Cross multiply
    3,766.78x = 5,648.50 × 2,011.47
  4. Step 4: Simplify right side
    3,766.78x = 11,361,788.30
  5. Step 5: Solve for x
    x = 11,361,788.30/3,766.78
  6. Step 6: Final answer
    x = 3,016.31

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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.