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Finding the Fourth Proportional to 4,969.68, 6,857.74 and 2,873.94

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Solution

The fourth proportional to 4,969.68, 6,857.74 and 2,873.94 is: 3,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.68 : 6,857.74 = 2,873.94 : x
  2. Step 2: Convert to fraction form
    4,969.68/6,857.74 = 2,873.94/x
  3. Step 3: Cross multiply
    4,969.68x = 6,857.74 × 2,873.94
  4. Step 4: Simplify right side
    4,969.68x = 19,708,733.30
  5. Step 5: Solve for x
    x = 19,708,733.30/4,969.68
  6. Step 6: Final answer
    x = 3,965.80

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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.