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Finding the Fourth Proportional to 6,101.58, 8,420.20 and 3,861.12

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Solution

The fourth proportional to 6,101.58, 8,420.20 and 3,861.12 is: 5,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.58 : 8,420.20 = 3,861.12 : x
  2. Step 2: Convert to fraction form
    6,101.58/8,420.20 = 3,861.12/x
  3. Step 3: Cross multiply
    6,101.58x = 8,420.20 × 3,861.12
  4. Step 4: Simplify right side
    6,101.58x = 32,511,402.62
  5. Step 5: Solve for x
    x = 32,511,402.62/6,101.58
  6. Step 6: Final answer
    x = 5,328.36

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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.