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Finding the Fourth Proportional to 4,932, 7,398 and 1,284

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Solution

The fourth proportional to 4,932, 7,398 and 1,284 is: 1,926

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932 : 7,398 = 1,284 : x
  2. Step 2: Convert to fraction form
    4,932/7,398 = 1,284/x
  3. Step 3: Cross multiply
    4,932x = 7,398 × 1,284
  4. Step 4: Simplify right side
    4,932x = 9,499,032
  5. Step 5: Solve for x
    x = 9,499,032/4,932
  6. Step 6: Final answer
    x = 1,926

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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.