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Finding the Fourth Proportional to 3,804.36, 5,705.16 and 1,463.16

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Solution

The fourth proportional to 3,804.36, 5,705.16 and 1,463.16 is: 2,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.36 : 5,705.16 = 1,463.16 : x
  2. Step 2: Convert to fraction form
    3,804.36/5,705.16 = 1,463.16/x
  3. Step 3: Cross multiply
    3,804.36x = 5,705.16 × 1,463.16
  4. Step 4: Simplify right side
    3,804.36x = 8,347,561.91
  5. Step 5: Solve for x
    x = 8,347,561.91/3,804.36
  6. Step 6: Final answer
    x = 2,194.21

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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.