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Finding the Fourth Proportional to 4,244, 5,856.80 and 2,380.96

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Solution

The fourth proportional to 4,244, 5,856.80 and 2,380.96 is: 3,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244 : 5,856.80 = 2,380.96 : x
  2. Step 2: Convert to fraction form
    4,244/5,856.80 = 2,380.96/x
  3. Step 3: Cross multiply
    4,244x = 5,856.80 × 2,380.96
  4. Step 4: Simplify right side
    4,244x = 13,944,806.53
  5. Step 5: Solve for x
    x = 13,944,806.53/4,244
  6. Step 6: Final answer
    x = 3,285.77

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1.5x scale

Why These Related Problems?

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