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Finding the Fourth Proportional to 3,742.39, 5,604.83 and 1,889

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Solution

The fourth proportional to 3,742.39, 5,604.83 and 1,889 is: 2,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.39 : 5,604.83 = 1,889 : x
  2. Step 2: Convert to fraction form
    3,742.39/5,604.83 = 1,889/x
  3. Step 3: Cross multiply
    3,742.39x = 5,604.83 × 1,889
  4. Step 4: Simplify right side
    3,742.39x = 10,587,523.87
  5. Step 5: Solve for x
    x = 10,587,523.87/3,742.39
  6. Step 6: Final answer
    x = 2,829.08

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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.