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Finding the Fourth Proportional to 3,653.96, 5,481.39 and 1,189.01

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Solution

The fourth proportional to 3,653.96, 5,481.39 and 1,189.01 is: 1,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.96 : 5,481.39 = 1,189.01 : x
  2. Step 2: Convert to fraction form
    3,653.96/5,481.39 = 1,189.01/x
  3. Step 3: Cross multiply
    3,653.96x = 5,481.39 × 1,189.01
  4. Step 4: Simplify right side
    3,653.96x = 6,517,427.52
  5. Step 5: Solve for x
    x = 6,517,427.52/3,653.96
  6. Step 6: Final answer
    x = 1,783.66

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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.