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Finding the Fourth Proportional to 6,109.85, 8,431.91 and 3,420.90

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Solution

The fourth proportional to 6,109.85, 8,431.91 and 3,420.90 is: 4,721.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.85 : 8,431.91 = 3,420.90 : x
  2. Step 2: Convert to fraction form
    6,109.85/8,431.91 = 3,420.90/x
  3. Step 3: Cross multiply
    6,109.85x = 8,431.91 × 3,420.90
  4. Step 4: Simplify right side
    6,109.85x = 28,844,720.92
  5. Step 5: Solve for x
    x = 28,844,720.92/6,109.85
  6. Step 6: Final answer
    x = 4,721.02

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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.