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Finding the Fourth Proportional to 3,768.84, 5,201.28 and 2,090.64

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Solution

The fourth proportional to 3,768.84, 5,201.28 and 2,090.64 is: 2,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.84 : 5,201.28 = 2,090.64 : x
  2. Step 2: Convert to fraction form
    3,768.84/5,201.28 = 2,090.64/x
  3. Step 3: Cross multiply
    3,768.84x = 5,201.28 × 2,090.64
  4. Step 4: Simplify right side
    3,768.84x = 10,874,004.02
  5. Step 5: Solve for x
    x = 10,874,004.02/3,768.84
  6. Step 6: Final answer
    x = 2,885.24

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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.