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Finding the Fourth Proportional to 3,818.56, 5,268.72 and 2,768.80

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Solution

The fourth proportional to 3,818.56, 5,268.72 and 2,768.80 is: 3,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.56 : 5,268.72 = 2,768.80 : x
  2. Step 2: Convert to fraction form
    3,818.56/5,268.72 = 2,768.80/x
  3. Step 3: Cross multiply
    3,818.56x = 5,268.72 × 2,768.80
  4. Step 4: Simplify right side
    3,818.56x = 14,588,031.94
  5. Step 5: Solve for x
    x = 14,588,031.94/3,818.56
  6. Step 6: Final answer
    x = 3,820.30

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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.