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Finding the Fourth Proportional to 3,309.25, 4,965.02 and 2,203.10

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Solution

The fourth proportional to 3,309.25, 4,965.02 and 2,203.10 is: 3,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.25 : 4,965.02 = 2,203.10 : x
  2. Step 2: Convert to fraction form
    3,309.25/4,965.02 = 2,203.10/x
  3. Step 3: Cross multiply
    3,309.25x = 4,965.02 × 2,203.10
  4. Step 4: Simplify right side
    3,309.25x = 10,938,424.55
  5. Step 5: Solve for x
    x = 10,938,424.55/3,309.25
  6. Step 6: Final answer
    x = 3,305.41

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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.