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Finding the Fourth Proportional to 3,494.32, 5,241.48 and 1,644.82

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Solution

The fourth proportional to 3,494.32, 5,241.48 and 1,644.82 is: 2,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.32 : 5,241.48 = 1,644.82 : x
  2. Step 2: Convert to fraction form
    3,494.32/5,241.48 = 1,644.82/x
  3. Step 3: Cross multiply
    3,494.32x = 5,241.48 × 1,644.82
  4. Step 4: Simplify right side
    3,494.32x = 8,621,291.13
  5. Step 5: Solve for x
    x = 8,621,291.13/3,494.32
  6. Step 6: Final answer
    x = 2,467.23

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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.