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Finding the Fourth Proportional to 4,116.56, 6,174.90 and 2,267.33

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Solution

The fourth proportional to 4,116.56, 6,174.90 and 2,267.33 is: 3,401.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.56 : 6,174.90 = 2,267.33 : x
  2. Step 2: Convert to fraction form
    4,116.56/6,174.90 = 2,267.33/x
  3. Step 3: Cross multiply
    4,116.56x = 6,174.90 × 2,267.33
  4. Step 4: Simplify right side
    4,116.56x = 14,000,505.14
  5. Step 5: Solve for x
    x = 14,000,505.14/4,116.56
  6. Step 6: Final answer
    x = 3,401.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.