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Finding the Fourth Proportional to 4,969.68, 6,855.96 and 3,080.76

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Solution

The fourth proportional to 4,969.68, 6,855.96 and 3,080.76 is: 4,250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.68 : 6,855.96 = 3,080.76 : x
  2. Step 2: Convert to fraction form
    4,969.68/6,855.96 = 3,080.76/x
  3. Step 3: Cross multiply
    4,969.68x = 6,855.96 × 3,080.76
  4. Step 4: Simplify right side
    4,969.68x = 21,121,567.33
  5. Step 5: Solve for x
    x = 21,121,567.33/4,969.68
  6. Step 6: Final answer
    x = 4,250.09

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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.