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Finding the Fourth Proportional to 3,433.52, 5,147.25 and 1,677.54

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Solution

The fourth proportional to 3,433.52, 5,147.25 and 1,677.54 is: 2,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.52 : 5,147.25 = 1,677.54 : x
  2. Step 2: Convert to fraction form
    3,433.52/5,147.25 = 1,677.54/x
  3. Step 3: Cross multiply
    3,433.52x = 5,147.25 × 1,677.54
  4. Step 4: Simplify right side
    3,433.52x = 8,634,730.78
  5. Step 5: Solve for x
    x = 8,634,730.78/3,433.52
  6. Step 6: Final answer
    x = 2,514.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.