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Finding the Fourth Proportional to 5,696.93, 7,861.86 and 3,179.25

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Solution

The fourth proportional to 5,696.93, 7,861.86 and 3,179.25 is: 4,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.93 : 7,861.86 = 3,179.25 : x
  2. Step 2: Convert to fraction form
    5,696.93/7,861.86 = 3,179.25/x
  3. Step 3: Cross multiply
    5,696.93x = 7,861.86 × 3,179.25
  4. Step 4: Simplify right side
    5,696.93x = 24,994,818.41
  5. Step 5: Solve for x
    x = 24,994,818.41/5,696.93
  6. Step 6: Final answer
    x = 4,387.42

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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.