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Finding the Fourth Proportional to 3,455.86, 5,183.34 and 990.58

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Solution

The fourth proportional to 3,455.86, 5,183.34 and 990.58 is: 1,485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.86 : 5,183.34 = 990.58 : x
  2. Step 2: Convert to fraction form
    3,455.86/5,183.34 = 990.58/x
  3. Step 3: Cross multiply
    3,455.86x = 5,183.34 × 990.58
  4. Step 4: Simplify right side
    3,455.86x = 5,134,512.94
  5. Step 5: Solve for x
    x = 5,134,512.94/3,455.86
  6. Step 6: Final answer
    x = 1,485.74

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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.