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Finding the Fourth Proportional to 5,776.22, 8,667 and 2,267.16

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Solution

The fourth proportional to 5,776.22, 8,667 and 2,267.16 is: 3,401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.22 : 8,667 = 2,267.16 : x
  2. Step 2: Convert to fraction form
    5,776.22/8,667 = 2,267.16/x
  3. Step 3: Cross multiply
    5,776.22x = 8,667 × 2,267.16
  4. Step 4: Simplify right side
    5,776.22x = 19,649,461.50
  5. Step 5: Solve for x
    x = 19,649,461.50/5,776.22
  6. Step 6: Final answer
    x = 3,401.78

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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.