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Finding the Fourth Proportional to 5,223, 7,207.20 and 2,984.88

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Solution

The fourth proportional to 5,223, 7,207.20 and 2,984.88 is: 4,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223 : 7,207.20 = 2,984.88 : x
  2. Step 2: Convert to fraction form
    5,223/7,207.20 = 2,984.88/x
  3. Step 3: Cross multiply
    5,223x = 7,207.20 × 2,984.88
  4. Step 4: Simplify right side
    5,223x = 21,512,627.14
  5. Step 5: Solve for x
    x = 21,512,627.14/5,223
  6. Step 6: Final answer
    x = 4,118.83

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