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Finding the Fourth Proportional to 4,969.88, 6,858.58 and 2,731.82

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Solution

The fourth proportional to 4,969.88, 6,858.58 and 2,731.82 is: 3,769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.88 : 6,858.58 = 2,731.82 : x
  2. Step 2: Convert to fraction form
    4,969.88/6,858.58 = 2,731.82/x
  3. Step 3: Cross multiply
    4,969.88x = 6,858.58 × 2,731.82
  4. Step 4: Simplify right side
    4,969.88x = 18,736,406.02
  5. Step 5: Solve for x
    x = 18,736,406.02/4,969.88
  6. Step 6: Final answer
    x = 3,769.99

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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.