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Finding the Fourth Proportional to 6,190.98, 8,540.55 and 4,096.86

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Solution

The fourth proportional to 6,190.98, 8,540.55 and 4,096.86 is: 5,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.98 : 8,540.55 = 4,096.86 : x
  2. Step 2: Convert to fraction form
    6,190.98/8,540.55 = 4,096.86/x
  3. Step 3: Cross multiply
    6,190.98x = 8,540.55 × 4,096.86
  4. Step 4: Simplify right side
    6,190.98x = 34,989,437.67
  5. Step 5: Solve for x
    x = 34,989,437.67/6,190.98
  6. Step 6: Final answer
    x = 5,651.68

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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.