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Finding the Fourth Proportional to 3,858.44, 5,324.60 and 2,090.00

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Solution

The fourth proportional to 3,858.44, 5,324.60 and 2,090.00 is: 2,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.44 : 5,324.60 = 2,090.00 : x
  2. Step 2: Convert to fraction form
    3,858.44/5,324.60 = 2,090.00/x
  3. Step 3: Cross multiply
    3,858.44x = 5,324.60 × 2,090.00
  4. Step 4: Simplify right side
    3,858.44x = 11,128,376.93
  5. Step 5: Solve for x
    x = 11,128,376.93/3,858.44
  6. Step 6: Final answer
    x = 2,884.17

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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.