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Finding the Fourth Proportional to 5,304, 7,956 and 2,226

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Solution

The fourth proportional to 5,304, 7,956 and 2,226 is: 3,339

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304 : 7,956 = 2,226 : x
  2. Step 2: Convert to fraction form
    5,304/7,956 = 2,226/x
  3. Step 3: Cross multiply
    5,304x = 7,956 × 2,226
  4. Step 4: Simplify right side
    5,304x = 17,710,056
  5. Step 5: Solve for x
    x = 17,710,056/5,304
  6. Step 6: Final answer
    x = 3,339

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.