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Finding the Fourth Proportional to 5,710.50, 8,565.75 and 2,247.75

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Solution

The fourth proportional to 5,710.50, 8,565.75 and 2,247.75 is: 3,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.50 : 8,565.75 = 2,247.75 : x
  2. Step 2: Convert to fraction form
    5,710.50/8,565.75 = 2,247.75/x
  3. Step 3: Cross multiply
    5,710.50x = 8,565.75 × 2,247.75
  4. Step 4: Simplify right side
    5,710.50x = 19,253,664.56
  5. Step 5: Solve for x
    x = 19,253,664.56/5,710.50
  6. Step 6: Final answer
    x = 3,371.63

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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.