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Finding the Fourth Proportional to 3,596.68, 4,964.16 and 2,105.38

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Solution

The fourth proportional to 3,596.68, 4,964.16 and 2,105.38 is: 2,905.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.68 : 4,964.16 = 2,105.38 : x
  2. Step 2: Convert to fraction form
    3,596.68/4,964.16 = 2,105.38/x
  3. Step 3: Cross multiply
    3,596.68x = 4,964.16 × 2,105.38
  4. Step 4: Simplify right side
    3,596.68x = 10,451,443.18
  5. Step 5: Solve for x
    x = 10,451,443.18/3,596.68
  6. Step 6: Final answer
    x = 2,905.86

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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.