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Finding the Fourth Proportional to 3,969.60, 5,954.40 and 1,196.16

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Solution

The fourth proportional to 3,969.60, 5,954.40 and 1,196.16 is: 1,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.60 : 5,954.40 = 1,196.16 : x
  2. Step 2: Convert to fraction form
    3,969.60/5,954.40 = 1,196.16/x
  3. Step 3: Cross multiply
    3,969.60x = 5,954.40 × 1,196.16
  4. Step 4: Simplify right side
    3,969.60x = 7,122,415.10
  5. Step 5: Solve for x
    x = 7,122,415.10/3,969.60
  6. Step 6: Final answer
    x = 1,794.24

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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.