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Finding the Fourth Proportional to 3,811, 5,716.50 and 1,502.50

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Solution

The fourth proportional to 3,811, 5,716.50 and 1,502.50 is: 2,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811 : 5,716.50 = 1,502.50 : x
  2. Step 2: Convert to fraction form
    3,811/5,716.50 = 1,502.50/x
  3. Step 3: Cross multiply
    3,811x = 5,716.50 × 1,502.50
  4. Step 4: Simplify right side
    3,811x = 8,589,041.25
  5. Step 5: Solve for x
    x = 8,589,041.25/3,811
  6. Step 6: Final answer
    x = 2,253.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.