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Finding the Fourth Proportional to 5,350.86, 8,014.14 and 3,785.54

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Solution

The fourth proportional to 5,350.86, 8,014.14 and 3,785.54 is: 5,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,350.86 : 8,014.14 = 3,785.54 : x
  2. Step 2: Convert to fraction form
    5,350.86/8,014.14 = 3,785.54/x
  3. Step 3: Cross multiply
    5,350.86x = 8,014.14 × 3,785.54
  4. Step 4: Simplify right side
    5,350.86x = 30,337,807.46
  5. Step 5: Solve for x
    x = 30,337,807.46/5,350.86
  6. Step 6: Final answer
    x = 5,669.71

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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.