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Finding the Fourth Proportional to 6,188.85, 8,539.13 and 3,500.12

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Solution

The fourth proportional to 6,188.85, 8,539.13 and 3,500.12 is: 4,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.85 : 8,539.13 = 3,500.12 : x
  2. Step 2: Convert to fraction form
    6,188.85/8,539.13 = 3,500.12/x
  3. Step 3: Cross multiply
    6,188.85x = 8,539.13 × 3,500.12
  4. Step 4: Simplify right side
    6,188.85x = 29,887,919.50
  5. Step 5: Solve for x
    x = 29,887,919.50/6,188.85
  6. Step 6: Final answer
    x = 4,829.32

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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.