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Finding the Fourth Proportional to 3,380.66, 4,631.42 and 3,254.31

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Solution

The fourth proportional to 3,380.66, 4,631.42 and 3,254.31 is: 4,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.66 : 4,631.42 = 3,254.31 : x
  2. Step 2: Convert to fraction form
    3,380.66/4,631.42 = 3,254.31/x
  3. Step 3: Cross multiply
    3,380.66x = 4,631.42 × 3,254.31
  4. Step 4: Simplify right side
    3,380.66x = 15,072,076.42
  5. Step 5: Solve for x
    x = 15,072,076.42/3,380.66
  6. Step 6: Final answer
    x = 4,458.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.