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Finding the Fourth Proportional to 3,972, 5,481.72 and 2,203.76

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Solution

The fourth proportional to 3,972, 5,481.72 and 2,203.76 is: 3,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972 : 5,481.72 = 2,203.76 : x
  2. Step 2: Convert to fraction form
    3,972/5,481.72 = 2,203.76/x
  3. Step 3: Cross multiply
    3,972x = 5,481.72 × 2,203.76
  4. Step 4: Simplify right side
    3,972x = 12,080,395.27
  5. Step 5: Solve for x
    x = 12,080,395.27/3,972
  6. Step 6: Final answer
    x = 3,041.39

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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.