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Finding the Fourth Proportional to 3,410.05, 5,109.61 and 3,082.00

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Solution

The fourth proportional to 3,410.05, 5,109.61 and 3,082.00 is: 4,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.05 : 5,109.61 = 3,082.00 : x
  2. Step 2: Convert to fraction form
    3,410.05/5,109.61 = 3,082.00/x
  3. Step 3: Cross multiply
    3,410.05x = 5,109.61 × 3,082.00
  4. Step 4: Simplify right side
    3,410.05x = 15,747,804.23
  5. Step 5: Solve for x
    x = 15,747,804.23/3,410.05
  6. Step 6: Final answer
    x = 4,618.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.