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Finding the Fourth Proportional to 5,716.50, 8,574.75 and 2,253.75

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Solution

The fourth proportional to 5,716.50, 8,574.75 and 2,253.75 is: 3,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.50 : 8,574.75 = 2,253.75 : x
  2. Step 2: Convert to fraction form
    5,716.50/8,574.75 = 2,253.75/x
  3. Step 3: Cross multiply
    5,716.50x = 8,574.75 × 2,253.75
  4. Step 4: Simplify right side
    5,716.50x = 19,325,342.81
  5. Step 5: Solve for x
    x = 19,325,342.81/5,716.50
  6. Step 6: Final answer
    x = 3,380.63

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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.