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Finding the Fourth Proportional to 5,224, 7,209.76 and 3,016

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Solution

The fourth proportional to 5,224, 7,209.76 and 3,016 is: 4,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224 : 7,209.76 = 3,016 : x
  2. Step 2: Convert to fraction form
    5,224/7,209.76 = 3,016/x
  3. Step 3: Cross multiply
    5,224x = 7,209.76 × 3,016
  4. Step 4: Simplify right side
    5,224x = 21,744,636.16
  5. Step 5: Solve for x
    x = 21,744,636.16/5,224
  6. Step 6: Final answer
    x = 4,162.45

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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.