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Finding the Fourth Proportional to 3,612, 5,418.84 and 1,856.34

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Solution

The fourth proportional to 3,612, 5,418.84 and 1,856.34 is: 2,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612 : 5,418.84 = 1,856.34 : x
  2. Step 2: Convert to fraction form
    3,612/5,418.84 = 1,856.34/x
  3. Step 3: Cross multiply
    3,612x = 5,418.84 × 1,856.34
  4. Step 4: Simplify right side
    3,612x = 10,059,209.45
  5. Step 5: Solve for x
    x = 10,059,209.45/3,612
  6. Step 6: Final answer
    x = 2,784.94

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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.