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Finding the Fourth Proportional to 3,266.88, 4,906.64 and 2,799.42

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Solution

The fourth proportional to 3,266.88, 4,906.64 and 2,799.42 is: 4,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.88 : 4,906.64 = 2,799.42 : x
  2. Step 2: Convert to fraction form
    3,266.88/4,906.64 = 2,799.42/x
  3. Step 3: Cross multiply
    3,266.88x = 4,906.64 × 2,799.42
  4. Step 4: Simplify right side
    3,266.88x = 13,735,746.15
  5. Step 5: Solve for x
    x = 13,735,746.15/3,266.88
  6. Step 6: Final answer
    x = 4,204.55

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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.