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Finding the Fourth Proportional to 3,698.91, 5,104.40 and 2,020.23

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Solution

The fourth proportional to 3,698.91, 5,104.40 and 2,020.23 is: 2,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.91 : 5,104.40 = 2,020.23 : x
  2. Step 2: Convert to fraction form
    3,698.91/5,104.40 = 2,020.23/x
  3. Step 3: Cross multiply
    3,698.91x = 5,104.40 × 2,020.23
  4. Step 4: Simplify right side
    3,698.91x = 10,312,051.91
  5. Step 5: Solve for x
    x = 10,312,051.91/3,698.91
  6. Step 6: Final answer
    x = 2,787.86

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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.