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Finding the Fourth Proportional to 3,468.26, 5,201.81 and 1,002.42

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Solution

The fourth proportional to 3,468.26, 5,201.81 and 1,002.42 is: 1,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.26 : 5,201.81 = 1,002.42 : x
  2. Step 2: Convert to fraction form
    3,468.26/5,201.81 = 1,002.42/x
  3. Step 3: Cross multiply
    3,468.26x = 5,201.81 × 1,002.42
  4. Step 4: Simplify right side
    3,468.26x = 5,214,393.37
  5. Step 5: Solve for x
    x = 5,214,393.37/3,468.26
  6. Step 6: Final answer
    x = 1,503.46

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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.