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Finding the Fourth Proportional to 3,431.78, 4,732.88 and 2,236.32

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Solution

The fourth proportional to 3,431.78, 4,732.88 and 2,236.32 is: 3,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.78 : 4,732.88 = 2,236.32 : x
  2. Step 2: Convert to fraction form
    3,431.78/4,732.88 = 2,236.32/x
  3. Step 3: Cross multiply
    3,431.78x = 4,732.88 × 2,236.32
  4. Step 4: Simplify right side
    3,431.78x = 10,584,239.79
  5. Step 5: Solve for x
    x = 10,584,239.79/3,431.78
  6. Step 6: Final answer
    x = 3,084.19

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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.