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Finding the Fourth Proportional to 3,606.49, 5,410.44 and 1,267.15

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Solution

The fourth proportional to 3,606.49, 5,410.44 and 1,267.15 is: 1,900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.49 : 5,410.44 = 1,267.15 : x
  2. Step 2: Convert to fraction form
    3,606.49/5,410.44 = 1,267.15/x
  3. Step 3: Cross multiply
    3,606.49x = 5,410.44 × 1,267.15
  4. Step 4: Simplify right side
    3,606.49x = 6,855,839.05
  5. Step 5: Solve for x
    x = 6,855,839.05/3,606.49
  6. Step 6: Final answer
    x = 1,900.97

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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.