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Finding the Fourth Proportional to 3,847.83, 5,314.19 and 3,350.90

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Solution

The fourth proportional to 3,847.83, 5,314.19 and 3,350.90 is: 4,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.83 : 5,314.19 = 3,350.90 : x
  2. Step 2: Convert to fraction form
    3,847.83/5,314.19 = 3,350.90/x
  3. Step 3: Cross multiply
    3,847.83x = 5,314.19 × 3,350.90
  4. Step 4: Simplify right side
    3,847.83x = 17,807,319.27
  5. Step 5: Solve for x
    x = 17,807,319.27/3,847.83
  6. Step 6: Final answer
    x = 4,627.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.