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Finding the Fourth Proportional to 3,976.32, 5,964.54 and 1,203.12

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Solution

The fourth proportional to 3,976.32, 5,964.54 and 1,203.12 is: 1,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.32 : 5,964.54 = 1,203.12 : x
  2. Step 2: Convert to fraction form
    3,976.32/5,964.54 = 1,203.12/x
  3. Step 3: Cross multiply
    3,976.32x = 5,964.54 × 1,203.12
  4. Step 4: Simplify right side
    3,976.32x = 7,176,057.36
  5. Step 5: Solve for x
    x = 7,176,057.36/3,976.32
  6. Step 6: Final answer
    x = 1,804.70

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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.