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Finding the Fourth Proportional to 5,290, 7,936.08 and 2,212

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Solution

The fourth proportional to 5,290, 7,936.08 and 2,212 is: 3,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290 : 7,936.08 = 2,212 : x
  2. Step 2: Convert to fraction form
    5,290/7,936.08 = 2,212/x
  3. Step 3: Cross multiply
    5,290x = 7,936.08 × 2,212
  4. Step 4: Simplify right side
    5,290x = 17,554,608.96
  5. Step 5: Solve for x
    x = 17,554,608.96/5,290
  6. Step 6: Final answer
    x = 3,318.45

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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.