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Finding the Fourth Proportional to 4,837.08, 6,676.38 and 2,973

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Solution

The fourth proportional to 4,837.08, 6,676.38 and 2,973 is: 4,103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837.08 : 6,676.38 = 2,973 : x
  2. Step 2: Convert to fraction form
    4,837.08/6,676.38 = 2,973/x
  3. Step 3: Cross multiply
    4,837.08x = 6,676.38 × 2,973
  4. Step 4: Simplify right side
    4,837.08x = 19,848,877.74
  5. Step 5: Solve for x
    x = 19,848,877.74/4,837.08
  6. Step 6: Final answer
    x = 4,103.48

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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.