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Finding the Fourth Proportional to 3,661.58, 5,493.24 and 1,196.40

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Solution

The fourth proportional to 3,661.58, 5,493.24 and 1,196.40 is: 1,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.58 : 5,493.24 = 1,196.40 : x
  2. Step 2: Convert to fraction form
    3,661.58/5,493.24 = 1,196.40/x
  3. Step 3: Cross multiply
    3,661.58x = 5,493.24 × 1,196.40
  4. Step 4: Simplify right side
    3,661.58x = 6,572,112.34
  5. Step 5: Solve for x
    x = 6,572,112.34/3,661.58
  6. Step 6: Final answer
    x = 1,794.88

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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.