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Finding the Fourth Proportional to 4,182.70, 6,268.22 and 2,778.76

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Solution

The fourth proportional to 4,182.70, 6,268.22 and 2,778.76 is: 4,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.70 : 6,268.22 = 2,778.76 : x
  2. Step 2: Convert to fraction form
    4,182.70/6,268.22 = 2,778.76/x
  3. Step 3: Cross multiply
    4,182.70x = 6,268.22 × 2,778.76
  4. Step 4: Simplify right side
    4,182.70x = 17,417,912.72
  5. Step 5: Solve for x
    x = 17,417,912.72/4,182.70
  6. Step 6: Final answer
    x = 4,164.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.