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Finding the Fourth Proportional to 5,224, 7,208.46 and 2,865.52

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Solution

The fourth proportional to 5,224, 7,208.46 and 2,865.52 is: 3,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224 : 7,208.46 = 2,865.52 : x
  2. Step 2: Convert to fraction form
    5,224/7,208.46 = 2,865.52/x
  3. Step 3: Cross multiply
    5,224x = 7,208.46 × 2,865.52
  4. Step 4: Simplify right side
    5,224x = 20,655,986.30
  5. Step 5: Solve for x
    x = 20,655,986.30/5,224
  6. Step 6: Final answer
    x = 3,954.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.