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Finding the Fourth Proportional to 3,494.69, 5,241.01 and 1,029.46

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Solution

The fourth proportional to 3,494.69, 5,241.01 and 1,029.46 is: 1,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.69 : 5,241.01 = 1,029.46 : x
  2. Step 2: Convert to fraction form
    3,494.69/5,241.01 = 1,029.46/x
  3. Step 3: Cross multiply
    3,494.69x = 5,241.01 × 1,029.46
  4. Step 4: Simplify right side
    3,494.69x = 5,395,378.80
  5. Step 5: Solve for x
    x = 5,395,378.80/3,494.69
  6. Step 6: Final answer
    x = 1,543.88

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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.