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Finding the Fourth Proportional to 4,672.70, 6,448.84 and 2,879.81

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Solution

The fourth proportional to 4,672.70, 6,448.84 and 2,879.81 is: 3,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.70 : 6,448.84 = 2,879.81 : x
  2. Step 2: Convert to fraction form
    4,672.70/6,448.84 = 2,879.81/x
  3. Step 3: Cross multiply
    4,672.70x = 6,448.84 × 2,879.81
  4. Step 4: Simplify right side
    4,672.70x = 18,571,435.64
  5. Step 5: Solve for x
    x = 18,571,435.64/4,672.70
  6. Step 6: Final answer
    x = 3,974.46

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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.