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Finding the Fourth Proportional to 3,980.36, 5,976.87 and 3,285.50

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Solution

The fourth proportional to 3,980.36, 5,976.87 and 3,285.50 is: 4,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.36 : 5,976.87 = 3,285.50 : x
  2. Step 2: Convert to fraction form
    3,980.36/5,976.87 = 3,285.50/x
  3. Step 3: Cross multiply
    3,980.36x = 5,976.87 × 3,285.50
  4. Step 4: Simplify right side
    3,980.36x = 19,637,006.39
  5. Step 5: Solve for x
    x = 19,637,006.39/3,980.36
  6. Step 6: Final answer
    x = 4,933.47

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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.