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Finding the Fourth Proportional to 6,196.23, 8,549.51 and 3,677.99

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Solution

The fourth proportional to 6,196.23, 8,549.51 and 3,677.99 is: 5,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.23 : 8,549.51 = 3,677.99 : x
  2. Step 2: Convert to fraction form
    6,196.23/8,549.51 = 3,677.99/x
  3. Step 3: Cross multiply
    6,196.23x = 8,549.51 × 3,677.99
  4. Step 4: Simplify right side
    6,196.23x = 31,444,951.15
  5. Step 5: Solve for x
    x = 31,444,951.15/6,196.23
  6. Step 6: Final answer
    x = 5,074.85

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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.