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Finding the Fourth Proportional to 3,309.52, 4,963.17 and 1,334.64

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Solution

The fourth proportional to 3,309.52, 4,963.17 and 1,334.64 is: 2,001.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.52 : 4,963.17 = 1,334.64 : x
  2. Step 2: Convert to fraction form
    3,309.52/4,963.17 = 1,334.64/x
  3. Step 3: Cross multiply
    3,309.52x = 4,963.17 × 1,334.64
  4. Step 4: Simplify right side
    3,309.52x = 6,624,026.95
  5. Step 5: Solve for x
    x = 6,624,026.95/3,309.52
  6. Step 6: Final answer
    x = 2,001.51

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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.