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Finding the Fourth Proportional to 3,226, 4,452.42 and 1,829.56

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Solution

The fourth proportional to 3,226, 4,452.42 and 1,829.56 is: 2,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226 : 4,452.42 = 1,829.56 : x
  2. Step 2: Convert to fraction form
    3,226/4,452.42 = 1,829.56/x
  3. Step 3: Cross multiply
    3,226x = 4,452.42 × 1,829.56
  4. Step 4: Simplify right side
    3,226x = 8,145,969.54
  5. Step 5: Solve for x
    x = 8,145,969.54/3,226
  6. Step 6: Final answer
    x = 2,525.10

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