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Finding the Fourth Proportional to 3,802.86, 5,704.92 and 1,206.42

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Solution

The fourth proportional to 3,802.86, 5,704.92 and 1,206.42 is: 1,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.86 : 5,704.92 = 1,206.42 : x
  2. Step 2: Convert to fraction form
    3,802.86/5,704.92 = 1,206.42/x
  3. Step 3: Cross multiply
    3,802.86x = 5,704.92 × 1,206.42
  4. Step 4: Simplify right side
    3,802.86x = 6,882,529.59
  5. Step 5: Solve for x
    x = 6,882,529.59/3,802.86
  6. Step 6: Final answer
    x = 1,809.83

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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.