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Finding the Fourth Proportional to 5,304.32, 7,940.64 and 3,218

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Solution

The fourth proportional to 5,304.32, 7,940.64 and 3,218 is: 4,817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.32 : 7,940.64 = 3,218 : x
  2. Step 2: Convert to fraction form
    5,304.32/7,940.64 = 3,218/x
  3. Step 3: Cross multiply
    5,304.32x = 7,940.64 × 3,218
  4. Step 4: Simplify right side
    5,304.32x = 25,552,979.52
  5. Step 5: Solve for x
    x = 25,552,979.52/5,304.32
  6. Step 6: Final answer
    x = 4,817.39

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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.