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Finding the Fourth Proportional to 5,696.82, 7,861.32 and 3,338.10

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Solution

The fourth proportional to 5,696.82, 7,861.32 and 3,338.10 is: 4,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.82 : 7,861.32 = 3,338.10 : x
  2. Step 2: Convert to fraction form
    5,696.82/7,861.32 = 3,338.10/x
  3. Step 3: Cross multiply
    5,696.82x = 7,861.32 × 3,338.10
  4. Step 4: Simplify right side
    5,696.82x = 26,241,872.29
  5. Step 5: Solve for x
    x = 26,241,872.29/5,696.82
  6. Step 6: Final answer
    x = 4,606.41

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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.