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Finding the Fourth Proportional to 5,198.55, 7,797.83 and 2,282.55

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Solution

The fourth proportional to 5,198.55, 7,797.83 and 2,282.55 is: 3,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.55 : 7,797.83 = 2,282.55 : x
  2. Step 2: Convert to fraction form
    5,198.55/7,797.83 = 2,282.55/x
  3. Step 3: Cross multiply
    5,198.55x = 7,797.83 × 2,282.55
  4. Step 4: Simplify right side
    5,198.55x = 17,798,925.45
  5. Step 5: Solve for x
    x = 17,798,925.45/5,198.55
  6. Step 6: Final answer
    x = 3,423.83

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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.