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Finding the Fourth Proportional to 3,927.36, 5,409.60 and 3,729.60

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Solution

The fourth proportional to 3,927.36, 5,409.60 and 3,729.60 is: 5,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.36 : 5,409.60 = 3,729.60 : x
  2. Step 2: Convert to fraction form
    3,927.36/5,409.60 = 3,729.60/x
  3. Step 3: Cross multiply
    3,927.36x = 5,409.60 × 3,729.60
  4. Step 4: Simplify right side
    3,927.36x = 20,175,644.16
  5. Step 5: Solve for x
    x = 20,175,644.16/3,927.36
  6. Step 6: Final answer
    x = 5,137.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.