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Finding the Fourth Proportional to 5,797.67, 8,698.12 and 1,904.81

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Solution

The fourth proportional to 5,797.67, 8,698.12 and 1,904.81 is: 2,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.67 : 8,698.12 = 1,904.81 : x
  2. Step 2: Convert to fraction form
    5,797.67/8,698.12 = 1,904.81/x
  3. Step 3: Cross multiply
    5,797.67x = 8,698.12 × 1,904.81
  4. Step 4: Simplify right side
    5,797.67x = 16,568,217.70
  5. Step 5: Solve for x
    x = 16,568,217.70/5,797.67
  6. Step 6: Final answer
    x = 2,857.74

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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.