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Finding the Fourth Proportional to 3,983.96, 5,976.16 and 1,210.73

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Solution

The fourth proportional to 3,983.96, 5,976.16 and 1,210.73 is: 1,816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.96 : 5,976.16 = 1,210.73 : x
  2. Step 2: Convert to fraction form
    3,983.96/5,976.16 = 1,210.73/x
  3. Step 3: Cross multiply
    3,983.96x = 5,976.16 × 1,210.73
  4. Step 4: Simplify right side
    3,983.96x = 7,235,483.29
  5. Step 5: Solve for x
    x = 7,235,483.29/3,983.96
  6. Step 6: Final answer
    x = 1,816.15

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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.