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Finding the Fourth Proportional to 3,605.67, 5,408.42 and 1,008.54

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Solution

The fourth proportional to 3,605.67, 5,408.42 and 1,008.54 is: 1,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.67 : 5,408.42 = 1,008.54 : x
  2. Step 2: Convert to fraction form
    3,605.67/5,408.42 = 1,008.54/x
  3. Step 3: Cross multiply
    3,605.67x = 5,408.42 × 1,008.54
  4. Step 4: Simplify right side
    3,605.67x = 5,454,602.86
  5. Step 5: Solve for x
    x = 5,454,602.86/3,605.67
  6. Step 6: Final answer
    x = 1,512.78

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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.