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Finding the Fourth Proportional to 3,976.49, 5,965.70 and 1,203.00

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Solution

The fourth proportional to 3,976.49, 5,965.70 and 1,203.00 is: 1,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.49 : 5,965.70 = 1,203.00 : x
  2. Step 2: Convert to fraction form
    3,976.49/5,965.70 = 1,203.00/x
  3. Step 3: Cross multiply
    3,976.49x = 5,965.70 × 1,203.00
  4. Step 4: Simplify right side
    3,976.49x = 7,176,745.23
  5. Step 5: Solve for x
    x = 7,176,745.23/3,976.49
  6. Step 6: Final answer
    x = 1,804.80

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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.