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Finding the Fourth Proportional to 4,927.44, 7,391.16 and 2,874

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Solution

The fourth proportional to 4,927.44, 7,391.16 and 2,874 is: 4,311

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.44 : 7,391.16 = 2,874 : x
  2. Step 2: Convert to fraction form
    4,927.44/7,391.16 = 2,874/x
  3. Step 3: Cross multiply
    4,927.44x = 7,391.16 × 2,874
  4. Step 4: Simplify right side
    4,927.44x = 21,242,193.84
  5. Step 5: Solve for x
    x = 21,242,193.84/4,927.44
  6. Step 6: Final answer
    x = 4,311

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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.