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Finding the Fourth Proportional to 3,226.57, 4,452.54 and 1,829.32

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Solution

The fourth proportional to 3,226.57, 4,452.54 and 1,829.32 is: 2,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.57 : 4,452.54 = 1,829.32 : x
  2. Step 2: Convert to fraction form
    3,226.57/4,452.54 = 1,829.32/x
  3. Step 3: Cross multiply
    3,226.57x = 4,452.54 × 1,829.32
  4. Step 4: Simplify right side
    3,226.57x = 8,145,102.48
  5. Step 5: Solve for x
    x = 8,145,102.48/3,226.57
  6. Step 6: Final answer
    x = 2,524.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.