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Finding the Fourth Proportional to 6,071.96, 8,379.62 and 3,420.20

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Solution

The fourth proportional to 6,071.96, 8,379.62 and 3,420.20 is: 4,720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.96 : 8,379.62 = 3,420.20 : x
  2. Step 2: Convert to fraction form
    6,071.96/8,379.62 = 3,420.20/x
  3. Step 3: Cross multiply
    6,071.96x = 8,379.62 × 3,420.20
  4. Step 4: Simplify right side
    6,071.96x = 28,659,976.32
  5. Step 5: Solve for x
    x = 28,659,976.32/6,071.96
  6. Step 6: Final answer
    x = 4,720.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.