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Finding the Fourth Proportional to 3,662.44, 5,492.52 and 1,322.14

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Solution

The fourth proportional to 3,662.44, 5,492.52 and 1,322.14 is: 1,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.44 : 5,492.52 = 1,322.14 : x
  2. Step 2: Convert to fraction form
    3,662.44/5,492.52 = 1,322.14/x
  3. Step 3: Cross multiply
    3,662.44x = 5,492.52 × 1,322.14
  4. Step 4: Simplify right side
    3,662.44x = 7,261,890.82
  5. Step 5: Solve for x
    x = 7,261,890.82/3,662.44
  6. Step 6: Final answer
    x = 1,982.80

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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.