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Finding the Fourth Proportional to 4,969.77, 6,858.36 and 2,731.74

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Solution

The fourth proportional to 4,969.77, 6,858.36 and 2,731.74 is: 3,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.77 : 6,858.36 = 2,731.74 : x
  2. Step 2: Convert to fraction form
    4,969.77/6,858.36 = 2,731.74/x
  3. Step 3: Cross multiply
    4,969.77x = 6,858.36 × 2,731.74
  4. Step 4: Simplify right side
    4,969.77x = 18,735,256.35
  5. Step 5: Solve for x
    x = 18,735,256.35/4,969.77
  6. Step 6: Final answer
    x = 3,769.84

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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.