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Finding the Fourth Proportional to 3,493.14, 5,239.14 and 2,269.22

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Solution

The fourth proportional to 3,493.14, 5,239.14 and 2,269.22 is: 3,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.14 : 5,239.14 = 2,269.22 : x
  2. Step 2: Convert to fraction form
    3,493.14/5,239.14 = 2,269.22/x
  3. Step 3: Cross multiply
    3,493.14x = 5,239.14 × 2,269.22
  4. Step 4: Simplify right side
    3,493.14x = 11,888,761.27
  5. Step 5: Solve for x
    x = 11,888,761.27/3,493.14
  6. Step 6: Final answer
    x = 3,403.46

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1.5x scale

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.