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Finding the Fourth Proportional to 3,846.55, 5,773.20 and 2,284.60

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Solution

The fourth proportional to 3,846.55, 5,773.20 and 2,284.60 is: 3,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.55 : 5,773.20 = 2,284.60 : x
  2. Step 2: Convert to fraction form
    3,846.55/5,773.20 = 2,284.60/x
  3. Step 3: Cross multiply
    3,846.55x = 5,773.20 × 2,284.60
  4. Step 4: Simplify right side
    3,846.55x = 13,189,452.72
  5. Step 5: Solve for x
    x = 13,189,452.72/3,846.55
  6. Step 6: Final answer
    x = 3,428.90

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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.