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Finding the Fourth Proportional to 3,858.64, 5,324.86 and 2,090.22

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Solution

The fourth proportional to 3,858.64, 5,324.86 and 2,090.22 is: 2,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.64 : 5,324.86 = 2,090.22 : x
  2. Step 2: Convert to fraction form
    3,858.64/5,324.86 = 2,090.22/x
  3. Step 3: Cross multiply
    3,858.64x = 5,324.86 × 2,090.22
  4. Step 4: Simplify right side
    3,858.64x = 11,130,128.87
  5. Step 5: Solve for x
    x = 11,130,128.87/3,858.64
  6. Step 6: Final answer
    x = 2,884.47

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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.