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Finding the Fourth Proportional to 3,858.94, 5,325.34 and 2,090.54

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Solution

The fourth proportional to 3,858.94, 5,325.34 and 2,090.54 is: 2,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.94 : 5,325.34 = 2,090.54 : x
  2. Step 2: Convert to fraction form
    3,858.94/5,325.34 = 2,090.54/x
  3. Step 3: Cross multiply
    3,858.94x = 5,325.34 × 2,090.54
  4. Step 4: Simplify right side
    3,858.94x = 11,132,844.37
  5. Step 5: Solve for x
    x = 11,132,844.37/3,858.94
  6. Step 6: Final answer
    x = 2,884.95

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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.