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Finding the Fourth Proportional to 3,698.72, 5,104.16 and 2,020.14

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Solution

The fourth proportional to 3,698.72, 5,104.16 and 2,020.14 is: 2,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.72 : 5,104.16 = 2,020.14 : x
  2. Step 2: Convert to fraction form
    3,698.72/5,104.16 = 2,020.14/x
  3. Step 3: Cross multiply
    3,698.72x = 5,104.16 × 2,020.14
  4. Step 4: Simplify right side
    3,698.72x = 10,311,117.78
  5. Step 5: Solve for x
    x = 10,311,117.78/3,698.72
  6. Step 6: Final answer
    x = 2,787.75

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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.