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Finding the Fourth Proportional to 6,244.54, 9,359.78 and 3,119.84

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Solution

The fourth proportional to 6,244.54, 9,359.78 and 3,119.84 is: 4,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.54 : 9,359.78 = 3,119.84 : x
  2. Step 2: Convert to fraction form
    6,244.54/9,359.78 = 3,119.84/x
  3. Step 3: Cross multiply
    6,244.54x = 9,359.78 × 3,119.84
  4. Step 4: Simplify right side
    6,244.54x = 29,201,016.04
  5. Step 5: Solve for x
    x = 29,201,016.04/6,244.54
  6. Step 6: Final answer
    x = 4,676.25

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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.