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Finding the Fourth Proportional to 3,662.60, 5,494.46 and 1,196.82

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Solution

The fourth proportional to 3,662.60, 5,494.46 and 1,196.82 is: 1,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.60 : 5,494.46 = 1,196.82 : x
  2. Step 2: Convert to fraction form
    3,662.60/5,494.46 = 1,196.82/x
  3. Step 3: Cross multiply
    3,662.60x = 5,494.46 × 1,196.82
  4. Step 4: Simplify right side
    3,662.60x = 6,575,873.63
  5. Step 5: Solve for x
    x = 6,575,873.63/3,662.60
  6. Step 6: Final answer
    x = 1,795.41

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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.