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Finding the Fourth Proportional to 5,449.76, 8,176.92 and 3,696.74

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Solution

The fourth proportional to 5,449.76, 8,176.92 and 3,696.74 is: 5,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.76 : 8,176.92 = 3,696.74 : x
  2. Step 2: Convert to fraction form
    5,449.76/8,176.92 = 3,696.74/x
  3. Step 3: Cross multiply
    5,449.76x = 8,176.92 × 3,696.74
  4. Step 4: Simplify right side
    5,449.76x = 30,227,947.24
  5. Step 5: Solve for x
    x = 30,227,947.24/5,449.76
  6. Step 6: Final answer
    x = 5,546.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.