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Finding the Fourth Proportional to 6,188.82, 8,540.46 and 3,500.00

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Solution

The fourth proportional to 6,188.82, 8,540.46 and 3,500.00 is: 4,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.82 : 8,540.46 = 3,500.00 : x
  2. Step 2: Convert to fraction form
    6,188.82/8,540.46 = 3,500.00/x
  3. Step 3: Cross multiply
    6,188.82x = 8,540.46 × 3,500.00
  4. Step 4: Simplify right side
    6,188.82x = 29,891,567.30
  5. Step 5: Solve for x
    x = 29,891,567.30/6,188.82
  6. Step 6: Final answer
    x = 4,829.93

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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.