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Finding the Fourth Proportional to 6,157.80, 8,499.09 and 3,768.60

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Solution

The fourth proportional to 6,157.80, 8,499.09 and 3,768.60 is: 5,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.80 : 8,499.09 = 3,768.60 : x
  2. Step 2: Convert to fraction form
    6,157.80/8,499.09 = 3,768.60/x
  3. Step 3: Cross multiply
    6,157.80x = 8,499.09 × 3,768.60
  4. Step 4: Simplify right side
    6,157.80x = 32,029,670.57
  5. Step 5: Solve for x
    x = 32,029,670.57/6,157.80
  6. Step 6: Final answer
    x = 5,201.48

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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.