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Finding the Fourth Proportional to 3,494.04, 5,221.82 and 3,291.75

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Solution

The fourth proportional to 3,494.04, 5,221.82 and 3,291.75 is: 4,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.04 : 5,221.82 = 3,291.75 : x
  2. Step 2: Convert to fraction form
    3,494.04/5,221.82 = 3,291.75/x
  3. Step 3: Cross multiply
    3,494.04x = 5,221.82 × 3,291.75
  4. Step 4: Simplify right side
    3,494.04x = 17,188,909.53
  5. Step 5: Solve for x
    x = 17,188,909.53/3,494.04
  6. Step 6: Final answer
    x = 4,919.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.