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Finding the Fourth Proportional to 5,857.16, 8,082.68 and 3,340.08

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Solution

The fourth proportional to 5,857.16, 8,082.68 and 3,340.08 is: 4,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.16 : 8,082.68 = 3,340.08 : x
  2. Step 2: Convert to fraction form
    5,857.16/8,082.68 = 3,340.08/x
  3. Step 3: Cross multiply
    5,857.16x = 8,082.68 × 3,340.08
  4. Step 4: Simplify right side
    5,857.16x = 26,996,835.60
  5. Step 5: Solve for x
    x = 26,996,835.60/5,857.16
  6. Step 6: Final answer
    x = 4,609.20

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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.