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Finding the Fourth Proportional to 3,789.52, 5,684.28 and 2,245.84

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Solution

The fourth proportional to 3,789.52, 5,684.28 and 2,245.84 is: 3,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.52 : 5,684.28 = 2,245.84 : x
  2. Step 2: Convert to fraction form
    3,789.52/5,684.28 = 2,245.84/x
  3. Step 3: Cross multiply
    3,789.52x = 5,684.28 × 2,245.84
  4. Step 4: Simplify right side
    3,789.52x = 12,765,983.40
  5. Step 5: Solve for x
    x = 12,765,983.40/3,789.52
  6. Step 6: Final answer
    x = 3,368.76

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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.