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Finding the Fourth Proportional to 3,983.76, 5,496.72 and 2,412.24

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Solution

The fourth proportional to 3,983.76, 5,496.72 and 2,412.24 is: 3,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.76 : 5,496.72 = 2,412.24 : x
  2. Step 2: Convert to fraction form
    3,983.76/5,496.72 = 2,412.24/x
  3. Step 3: Cross multiply
    3,983.76x = 5,496.72 × 2,412.24
  4. Step 4: Simplify right side
    3,983.76x = 13,259,407.85
  5. Step 5: Solve for x
    x = 13,259,407.85/3,983.76
  6. Step 6: Final answer
    x = 3,328.37

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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.