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Finding the Fourth Proportional to 4,704, 7,056 and 1,626

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Solution

The fourth proportional to 4,704, 7,056 and 1,626 is: 2,439

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704 : 7,056 = 1,626 : x
  2. Step 2: Convert to fraction form
    4,704/7,056 = 1,626/x
  3. Step 3: Cross multiply
    4,704x = 7,056 × 1,626
  4. Step 4: Simplify right side
    4,704x = 11,473,056
  5. Step 5: Solve for x
    x = 11,473,056/4,704
  6. Step 6: Final answer
    x = 2,439

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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.