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Finding the Fourth Proportional to 4,969.23, 6,857.51 and 2,845.14

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Solution

The fourth proportional to 4,969.23, 6,857.51 and 2,845.14 is: 3,926.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.23 : 6,857.51 = 2,845.14 : x
  2. Step 2: Convert to fraction form
    4,969.23/6,857.51 = 2,845.14/x
  3. Step 3: Cross multiply
    4,969.23x = 6,857.51 × 2,845.14
  4. Step 4: Simplify right side
    4,969.23x = 19,510,561.78
  5. Step 5: Solve for x
    x = 19,510,561.78/4,969.23
  6. Step 6: Final answer
    x = 3,926.27

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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.