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Finding the Fourth Proportional to 4,011.24, 6,019 and 3,865.80

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Solution

The fourth proportional to 4,011.24, 6,019 and 3,865.80 is: 5,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011.24 : 6,019 = 3,865.80 : x
  2. Step 2: Convert to fraction form
    4,011.24/6,019 = 3,865.80/x
  3. Step 3: Cross multiply
    4,011.24x = 6,019 × 3,865.80
  4. Step 4: Simplify right side
    4,011.24x = 23,268,250.20
  5. Step 5: Solve for x
    x = 23,268,250.20/4,011.24
  6. Step 6: Final answer
    x = 5,800.76

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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.