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Finding the Fourth Proportional to 3,765.40, 5,644.26 and 2,667.16

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Solution

The fourth proportional to 3,765.40, 5,644.26 and 2,667.16 is: 3,998.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.40 : 5,644.26 = 2,667.16 : x
  2. Step 2: Convert to fraction form
    3,765.40/5,644.26 = 2,667.16/x
  3. Step 3: Cross multiply
    3,765.40x = 5,644.26 × 2,667.16
  4. Step 4: Simplify right side
    3,765.40x = 15,054,144.50
  5. Step 5: Solve for x
    x = 15,054,144.50/3,765.40
  6. Step 6: Final answer
    x = 3,998.02

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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.