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Finding the Fourth Proportional to 5,325, 7,987.50 and 2,247

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Solution

The fourth proportional to 5,325, 7,987.50 and 2,247 is: 3,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325 : 7,987.50 = 2,247 : x
  2. Step 2: Convert to fraction form
    5,325/7,987.50 = 2,247/x
  3. Step 3: Cross multiply
    5,325x = 7,987.50 × 2,247
  4. Step 4: Simplify right side
    5,325x = 17,947,912.50
  5. Step 5: Solve for x
    x = 17,947,912.50/5,325
  6. Step 6: Final answer
    x = 3,370.50

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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.