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Finding the Fourth Proportional to 3,765.44, 5,192.40 and 3,207.44

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Solution

The fourth proportional to 3,765.44, 5,192.40 and 3,207.44 is: 4,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.44 : 5,192.40 = 3,207.44 : x
  2. Step 2: Convert to fraction form
    3,765.44/5,192.40 = 3,207.44/x
  3. Step 3: Cross multiply
    3,765.44x = 5,192.40 × 3,207.44
  4. Step 4: Simplify right side
    3,765.44x = 16,654,311.46
  5. Step 5: Solve for x
    x = 16,654,311.46/3,765.44
  6. Step 6: Final answer
    x = 4,422.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.