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Finding the Fourth Proportional to 3,984.54, 5,969.60 and 2,227.44

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Solution

The fourth proportional to 3,984.54, 5,969.60 and 2,227.44 is: 3,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.54 : 5,969.60 = 2,227.44 : x
  2. Step 2: Convert to fraction form
    3,984.54/5,969.60 = 2,227.44/x
  3. Step 3: Cross multiply
    3,984.54x = 5,969.60 × 2,227.44
  4. Step 4: Simplify right side
    3,984.54x = 13,296,925.82
  5. Step 5: Solve for x
    x = 13,296,925.82/3,984.54
  6. Step 6: Final answer
    x = 3,337.13

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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.