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Finding the Fourth Proportional to 5,857.34, 8,082.94 and 3,204.68

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Solution

The fourth proportional to 5,857.34, 8,082.94 and 3,204.68 is: 4,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.34 : 8,082.94 = 3,204.68 : x
  2. Step 2: Convert to fraction form
    5,857.34/8,082.94 = 3,204.68/x
  3. Step 3: Cross multiply
    5,857.34x = 8,082.94 × 3,204.68
  4. Step 4: Simplify right side
    5,857.34x = 25,903,236.16
  5. Step 5: Solve for x
    x = 25,903,236.16/5,857.34
  6. Step 6: Final answer
    x = 4,422.35

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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.