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Finding the Fourth Proportional to 3,698.53, 5,104.01 and 2,019.99

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Solution

The fourth proportional to 3,698.53, 5,104.01 and 2,019.99 is: 2,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.53 : 5,104.01 = 2,019.99 : x
  2. Step 2: Convert to fraction form
    3,698.53/5,104.01 = 2,019.99/x
  3. Step 3: Cross multiply
    3,698.53x = 5,104.01 × 2,019.99
  4. Step 4: Simplify right side
    3,698.53x = 10,310,023.64
  5. Step 5: Solve for x
    x = 10,310,023.64/3,698.53
  6. Step 6: Final answer
    x = 2,787.60

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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.