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Finding the Fourth Proportional to 3,804.17, 5,705.24 and 1,464.48

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Solution

The fourth proportional to 3,804.17, 5,705.24 and 1,464.48 is: 2,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.17 : 5,705.24 = 1,464.48 : x
  2. Step 2: Convert to fraction form
    3,804.17/5,705.24 = 1,464.48/x
  3. Step 3: Cross multiply
    3,804.17x = 5,705.24 × 1,464.48
  4. Step 4: Simplify right side
    3,804.17x = 8,355,202.55
  5. Step 5: Solve for x
    x = 8,355,202.55/3,804.17
  6. Step 6: Final answer
    x = 2,196.33

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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.