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Finding the Fourth Proportional to 4,838, 6,676.98 and 2,975

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Solution

The fourth proportional to 4,838, 6,676.98 and 2,975 is: 4,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838 : 6,676.98 = 2,975 : x
  2. Step 2: Convert to fraction form
    4,838/6,676.98 = 2,975/x
  3. Step 3: Cross multiply
    4,838x = 6,676.98 × 2,975
  4. Step 4: Simplify right side
    4,838x = 19,864,015.50
  5. Step 5: Solve for x
    x = 19,864,015.50/4,838
  6. Step 6: Final answer
    x = 4,105.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.