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Finding the Fourth Proportional to 5,857.81, 8,082.88 and 3,340.05

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Solution

The fourth proportional to 5,857.81, 8,082.88 and 3,340.05 is: 4,608.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.81 : 8,082.88 = 3,340.05 : x
  2. Step 2: Convert to fraction form
    5,857.81/8,082.88 = 3,340.05/x
  3. Step 3: Cross multiply
    5,857.81x = 8,082.88 × 3,340.05
  4. Step 4: Simplify right side
    5,857.81x = 26,997,223.34
  5. Step 5: Solve for x
    x = 26,997,223.34/5,857.81
  6. Step 6: Final answer
    x = 4,608.76

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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.