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Finding the Fourth Proportional to 3,858.68, 5,324.95 and 2,090.25

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Solution

The fourth proportional to 3,858.68, 5,324.95 and 2,090.25 is: 2,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.68 : 5,324.95 = 2,090.25 : x
  2. Step 2: Convert to fraction form
    3,858.68/5,324.95 = 2,090.25/x
  3. Step 3: Cross multiply
    3,858.68x = 5,324.95 × 2,090.25
  4. Step 4: Simplify right side
    3,858.68x = 11,130,476.74
  5. Step 5: Solve for x
    x = 11,130,476.74/3,858.68
  6. Step 6: Final answer
    x = 2,884.53

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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.