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Finding the Fourth Proportional to 3,523.80, 5,286.06 and 1,215

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Solution

The fourth proportional to 3,523.80, 5,286.06 and 1,215 is: 1,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.80 : 5,286.06 = 1,215 : x
  2. Step 2: Convert to fraction form
    3,523.80/5,286.06 = 1,215/x
  3. Step 3: Cross multiply
    3,523.80x = 5,286.06 × 1,215
  4. Step 4: Simplify right side
    3,523.80x = 6,422,562.90
  5. Step 5: Solve for x
    x = 6,422,562.90/3,523.80
  6. Step 6: Final answer
    x = 1,822.62

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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.