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Finding the Fourth Proportional to 3,486.01, 5,227.50 and 1,020.78

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Solution

The fourth proportional to 3,486.01, 5,227.50 and 1,020.78 is: 1,530.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.01 : 5,227.50 = 1,020.78 : x
  2. Step 2: Convert to fraction form
    3,486.01/5,227.50 = 1,020.78/x
  3. Step 3: Cross multiply
    3,486.01x = 5,227.50 × 1,020.78
  4. Step 4: Simplify right side
    3,486.01x = 5,336,127.45
  5. Step 5: Solve for x
    x = 5,336,127.45/3,486.01
  6. Step 6: Final answer
    x = 1,530.73

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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.