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Finding the Fourth Proportional to 5,944.32, 8,200.44 and 3,849.12

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Solution

The fourth proportional to 5,944.32, 8,200.44 and 3,849.12 is: 5,310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.32 : 8,200.44 = 3,849.12 : x
  2. Step 2: Convert to fraction form
    5,944.32/8,200.44 = 3,849.12/x
  3. Step 3: Cross multiply
    5,944.32x = 8,200.44 × 3,849.12
  4. Step 4: Simplify right side
    5,944.32x = 31,564,477.61
  5. Step 5: Solve for x
    x = 31,564,477.61/5,944.32
  6. Step 6: Final answer
    x = 5,310.02

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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.