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Finding the Fourth Proportional to 5,629.32, 7,768.44 and 3,145.32

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Solution

The fourth proportional to 5,629.32, 7,768.44 and 3,145.32 is: 4,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.32 : 7,768.44 = 3,145.32 : x
  2. Step 2: Convert to fraction form
    5,629.32/7,768.44 = 3,145.32/x
  3. Step 3: Cross multiply
    5,629.32x = 7,768.44 × 3,145.32
  4. Step 4: Simplify right side
    5,629.32x = 24,434,229.70
  5. Step 5: Solve for x
    x = 24,434,229.70/5,629.32
  6. Step 6: Final answer
    x = 4,340.53

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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.