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Finding the Fourth Proportional to 5,947.16, 8,205.66 and 3,850.88

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Solution

The fourth proportional to 5,947.16, 8,205.66 and 3,850.88 is: 5,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.16 : 8,205.66 = 3,850.88 : x
  2. Step 2: Convert to fraction form
    5,947.16/8,205.66 = 3,850.88/x
  3. Step 3: Cross multiply
    5,947.16x = 8,205.66 × 3,850.88
  4. Step 4: Simplify right side
    5,947.16x = 31,599,011.98
  5. Step 5: Solve for x
    x = 31,599,011.98/5,947.16
  6. Step 6: Final answer
    x = 5,313.29

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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.