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Finding the Fourth Proportional to 3,698.64, 5,104.10 and 2,020.03

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Solution

The fourth proportional to 3,698.64, 5,104.10 and 2,020.03 is: 2,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.64 : 5,104.10 = 2,020.03 : x
  2. Step 2: Convert to fraction form
    3,698.64/5,104.10 = 2,020.03/x
  3. Step 3: Cross multiply
    3,698.64x = 5,104.10 × 2,020.03
  4. Step 4: Simplify right side
    3,698.64x = 10,310,427.41
  5. Step 5: Solve for x
    x = 10,310,427.41/3,698.64
  6. Step 6: Final answer
    x = 2,787.63

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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.