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Finding the Fourth Proportional to 4,968.92, 6,857.70 and 2,873

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Solution

The fourth proportional to 4,968.92, 6,857.70 and 2,873 is: 3,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.92 : 6,857.70 = 2,873 : x
  2. Step 2: Convert to fraction form
    4,968.92/6,857.70 = 2,873/x
  3. Step 3: Cross multiply
    4,968.92x = 6,857.70 × 2,873
  4. Step 4: Simplify right side
    4,968.92x = 19,702,172.10
  5. Step 5: Solve for x
    x = 19,702,172.10/4,968.92
  6. Step 6: Final answer
    x = 3,965.08

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