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Finding the Fourth Proportional to 3,442.50, 5,163.21 and 2,861.24

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Solution

The fourth proportional to 3,442.50, 5,163.21 and 2,861.24 is: 4,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.50 : 5,163.21 = 2,861.24 : x
  2. Step 2: Convert to fraction form
    3,442.50/5,163.21 = 2,861.24/x
  3. Step 3: Cross multiply
    3,442.50x = 5,163.21 × 2,861.24
  4. Step 4: Simplify right side
    3,442.50x = 14,773,157.16
  5. Step 5: Solve for x
    x = 14,773,157.16/3,442.50
  6. Step 6: Final answer
    x = 4,291.40

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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.