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Finding the Fourth Proportional to 5,903.80, 8,149.62 and 4,311.88

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Solution

The fourth proportional to 5,903.80, 8,149.62 and 4,311.88 is: 5,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.80 : 8,149.62 = 4,311.88 : x
  2. Step 2: Convert to fraction form
    5,903.80/8,149.62 = 4,311.88/x
  3. Step 3: Cross multiply
    5,903.80x = 8,149.62 × 4,311.88
  4. Step 4: Simplify right side
    5,903.80x = 35,140,183.49
  5. Step 5: Solve for x
    x = 35,140,183.49/5,903.80
  6. Step 6: Final answer
    x = 5,952.13

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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.