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Finding the Fourth Proportional to 4,830, 7,245 and 2,094

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Solution

The fourth proportional to 4,830, 7,245 and 2,094 is: 3,141

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830 : 7,245 = 2,094 : x
  2. Step 2: Convert to fraction form
    4,830/7,245 = 2,094/x
  3. Step 3: Cross multiply
    4,830x = 7,245 × 2,094
  4. Step 4: Simplify right side
    4,830x = 15,171,030
  5. Step 5: Solve for x
    x = 15,171,030/4,830
  6. Step 6: Final answer
    x = 3,141

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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.