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Finding the Fourth Proportional to 3,754.10, 5,634.81 and 3,069.16

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Solution

The fourth proportional to 3,754.10, 5,634.81 and 3,069.16 is: 4,606.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.10 : 5,634.81 = 3,069.16 : x
  2. Step 2: Convert to fraction form
    3,754.10/5,634.81 = 3,069.16/x
  3. Step 3: Cross multiply
    3,754.10x = 5,634.81 × 3,069.16
  4. Step 4: Simplify right side
    3,754.10x = 17,294,119.37
  5. Step 5: Solve for x
    x = 17,294,119.37/3,754.10
  6. Step 6: Final answer
    x = 4,606.73

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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.