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Finding the Fourth Proportional to 3,684.66, 5,083.44 and 2,192.64

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Solution

The fourth proportional to 3,684.66, 5,083.44 and 2,192.64 is: 3,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.66 : 5,083.44 = 2,192.64 : x
  2. Step 2: Convert to fraction form
    3,684.66/5,083.44 = 2,192.64/x
  3. Step 3: Cross multiply
    3,684.66x = 5,083.44 × 2,192.64
  4. Step 4: Simplify right side
    3,684.66x = 11,146,153.88
  5. Step 5: Solve for x
    x = 11,146,153.88/3,684.66
  6. Step 6: Final answer
    x = 3,025.02

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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.