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Finding the Fourth Proportional to 3,662.74, 5,494.04 and 889.43

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Solution

The fourth proportional to 3,662.74, 5,494.04 and 889.43 is: 1,334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.74 : 5,494.04 = 889.43 : x
  2. Step 2: Convert to fraction form
    3,662.74/5,494.04 = 889.43/x
  3. Step 3: Cross multiply
    3,662.74x = 5,494.04 × 889.43
  4. Step 4: Simplify right side
    3,662.74x = 4,886,567.57
  5. Step 5: Solve for x
    x = 4,886,567.57/3,662.74
  6. Step 6: Final answer
    x = 1,334.13

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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.