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Finding the Fourth Proportional to 4,812.54, 7,216.25 and 2,213.25

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Solution

The fourth proportional to 4,812.54, 7,216.25 and 2,213.25 is: 3,318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.54 : 7,216.25 = 2,213.25 : x
  2. Step 2: Convert to fraction form
    4,812.54/7,216.25 = 2,213.25/x
  3. Step 3: Cross multiply
    4,812.54x = 7,216.25 × 2,213.25
  4. Step 4: Simplify right side
    4,812.54x = 15,971,354.25
  5. Step 5: Solve for x
    x = 15,971,354.25/4,812.54
  6. Step 6: Final answer
    x = 3,318.70

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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.