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Finding the Fourth Proportional to 3,976.54, 5,487.86 and 2,208.16

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Solution

The fourth proportional to 3,976.54, 5,487.86 and 2,208.16 is: 3,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.54 : 5,487.86 = 2,208.16 : x
  2. Step 2: Convert to fraction form
    3,976.54/5,487.86 = 2,208.16/x
  3. Step 3: Cross multiply
    3,976.54x = 5,487.86 × 2,208.16
  4. Step 4: Simplify right side
    3,976.54x = 12,118,072.94
  5. Step 5: Solve for x
    x = 12,118,072.94/3,976.54
  6. Step 6: Final answer
    x = 3,047.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.