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Finding the Fourth Proportional to 3,776.49, 5,664.74 and 1,003.19

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Solution

The fourth proportional to 3,776.49, 5,664.74 and 1,003.19 is: 1,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.49 : 5,664.74 = 1,003.19 : x
  2. Step 2: Convert to fraction form
    3,776.49/5,664.74 = 1,003.19/x
  3. Step 3: Cross multiply
    3,776.49x = 5,664.74 × 1,003.19
  4. Step 4: Simplify right side
    3,776.49x = 5,682,777.18
  5. Step 5: Solve for x
    x = 5,682,777.18/3,776.49
  6. Step 6: Final answer
    x = 1,504.78

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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.