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Finding the Fourth Proportional to 5,607.56, 7,738.32 and 3,512.84

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Solution

The fourth proportional to 5,607.56, 7,738.32 and 3,512.84 is: 4,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.56 : 7,738.32 = 3,512.84 : x
  2. Step 2: Convert to fraction form
    5,607.56/7,738.32 = 3,512.84/x
  3. Step 3: Cross multiply
    5,607.56x = 7,738.32 × 3,512.84
  4. Step 4: Simplify right side
    5,607.56x = 27,183,480.03
  5. Step 5: Solve for x
    x = 27,183,480.03/5,607.56
  6. Step 6: Final answer
    x = 4,847.65

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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.