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Finding the Fourth Proportional to 3,766.67, 5,649.55 and 993.55

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Solution

The fourth proportional to 3,766.67, 5,649.55 and 993.55 is: 1,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.67 : 5,649.55 = 993.55 : x
  2. Step 2: Convert to fraction form
    3,766.67/5,649.55 = 993.55/x
  3. Step 3: Cross multiply
    3,766.67x = 5,649.55 × 993.55
  4. Step 4: Simplify right side
    3,766.67x = 5,613,110.40
  5. Step 5: Solve for x
    x = 5,613,110.40/3,766.67
  6. Step 6: Final answer
    x = 1,490.20

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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.