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Finding the Fourth Proportional to 3,869.36, 5,804.14 and 1,096.12

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Solution

The fourth proportional to 3,869.36, 5,804.14 and 1,096.12 is: 1,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.36 : 5,804.14 = 1,096.12 : x
  2. Step 2: Convert to fraction form
    3,869.36/5,804.14 = 1,096.12/x
  3. Step 3: Cross multiply
    3,869.36x = 5,804.14 × 1,096.12
  4. Step 4: Simplify right side
    3,869.36x = 6,362,033.94
  5. Step 5: Solve for x
    x = 6,362,033.94/3,869.36
  6. Step 6: Final answer
    x = 1,644.21

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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.