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Finding the Fourth Proportional to 3,496.64, 5,239.96 and 2,712.96

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Solution

The fourth proportional to 3,496.64, 5,239.96 and 2,712.96 is: 4,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.64 : 5,239.96 = 2,712.96 : x
  2. Step 2: Convert to fraction form
    3,496.64/5,239.96 = 2,712.96/x
  3. Step 3: Cross multiply
    3,496.64x = 5,239.96 × 2,712.96
  4. Step 4: Simplify right side
    3,496.64x = 14,215,801.88
  5. Step 5: Solve for x
    x = 14,215,801.88/3,496.64
  6. Step 6: Final answer
    x = 4,065.56

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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.