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Finding the Fourth Proportional to 3,698.74, 5,104.20 and 2,020.16

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Solution

The fourth proportional to 3,698.74, 5,104.20 and 2,020.16 is: 2,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.74 : 5,104.20 = 2,020.16 : x
  2. Step 2: Convert to fraction form
    3,698.74/5,104.20 = 2,020.16/x
  3. Step 3: Cross multiply
    3,698.74x = 5,104.20 × 2,020.16
  4. Step 4: Simplify right side
    3,698.74x = 10,311,300.67
  5. Step 5: Solve for x
    x = 10,311,300.67/3,698.74
  6. Step 6: Final answer
    x = 2,787.79

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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.