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Finding the Fourth Proportional to 3,494.33, 5,241.51 and 1,029.18

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Solution

The fourth proportional to 3,494.33, 5,241.51 and 1,029.18 is: 1,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.33 : 5,241.51 = 1,029.18 : x
  2. Step 2: Convert to fraction form
    3,494.33/5,241.51 = 1,029.18/x
  3. Step 3: Cross multiply
    3,494.33x = 5,241.51 × 1,029.18
  4. Step 4: Simplify right side
    3,494.33x = 5,394,457.26
  5. Step 5: Solve for x
    x = 5,394,457.26/3,494.33
  6. Step 6: Final answer
    x = 1,543.78

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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.