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Finding the Fourth Proportional to 3,683.67, 5,524.56 and 1,086

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Solution

The fourth proportional to 3,683.67, 5,524.56 and 1,086 is: 1,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.67 : 5,524.56 = 1,086 : x
  2. Step 2: Convert to fraction form
    3,683.67/5,524.56 = 1,086/x
  3. Step 3: Cross multiply
    3,683.67x = 5,524.56 × 1,086
  4. Step 4: Simplify right side
    3,683.67x = 5,999,672.16
  5. Step 5: Solve for x
    x = 5,999,672.16/3,683.67
  6. Step 6: Final answer
    x = 1,628.72

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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.