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Finding the Fourth Proportional to 2,804.22, 3,869.01 and 2,213.82

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Solution

The fourth proportional to 2,804.22, 3,869.01 and 2,213.82 is: 3,054.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.22 : 3,869.01 = 2,213.82 : x
  2. Step 2: Convert to fraction form
    2,804.22/3,869.01 = 2,213.82/x
  3. Step 3: Cross multiply
    2,804.22x = 3,869.01 × 2,213.82
  4. Step 4: Simplify right side
    2,804.22x = 8,565,291.72
  5. Step 5: Solve for x
    x = 8,565,291.72/2,804.22
  6. Step 6: Final answer
    x = 3,054.43

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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.