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Finding the Fourth Proportional to 4,969, 6,857.22 and 2,873.26

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Solution

The fourth proportional to 4,969, 6,857.22 and 2,873.26 is: 3,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969 : 6,857.22 = 2,873.26 : x
  2. Step 2: Convert to fraction form
    4,969/6,857.22 = 2,873.26/x
  3. Step 3: Cross multiply
    4,969x = 6,857.22 × 2,873.26
  4. Step 4: Simplify right side
    4,969x = 19,702,575.94
  5. Step 5: Solve for x
    x = 19,702,575.94/4,969
  6. Step 6: Final answer
    x = 3,965.10

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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.