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Finding the Fourth Proportional to 4,969.42, 6,857.40 and 2,731.24

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Solution

The fourth proportional to 4,969.42, 6,857.40 and 2,731.24 is: 3,768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.42 : 6,857.40 = 2,731.24 : x
  2. Step 2: Convert to fraction form
    4,969.42/6,857.40 = 2,731.24/x
  3. Step 3: Cross multiply
    4,969.42x = 6,857.40 × 2,731.24
  4. Step 4: Simplify right side
    4,969.42x = 18,729,205.18
  5. Step 5: Solve for x
    x = 18,729,205.18/4,969.42
  6. Step 6: Final answer
    x = 3,768.89

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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.