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Finding the Fourth Proportional to 3,858.92, 5,325.31 and 2,090.52

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Solution

The fourth proportional to 3,858.92, 5,325.31 and 2,090.52 is: 2,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.92 : 5,325.31 = 2,090.52 : x
  2. Step 2: Convert to fraction form
    3,858.92/5,325.31 = 2,090.52/x
  3. Step 3: Cross multiply
    3,858.92x = 5,325.31 × 2,090.52
  4. Step 4: Simplify right side
    3,858.92x = 11,132,667.06
  5. Step 5: Solve for x
    x = 11,132,667.06/3,858.92
  6. Step 6: Final answer
    x = 2,884.92

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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.