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Finding the Fourth Proportional to 5,944.32, 8,203.47 and 3,586.62

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Solution

The fourth proportional to 5,944.32, 8,203.47 and 3,586.62 is: 4,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.32 : 8,203.47 = 3,586.62 : x
  2. Step 2: Convert to fraction form
    5,944.32/8,203.47 = 3,586.62/x
  3. Step 3: Cross multiply
    5,944.32x = 8,203.47 × 3,586.62
  4. Step 4: Simplify right side
    5,944.32x = 29,422,729.57
  5. Step 5: Solve for x
    x = 29,422,729.57/5,944.32
  6. Step 6: Final answer
    x = 4,949.72

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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.