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Finding the Fourth Proportional to 3,698.90, 5,104.49 and 2,020.32

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Solution

The fourth proportional to 3,698.90, 5,104.49 and 2,020.32 is: 2,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.90 : 5,104.49 = 2,020.32 : x
  2. Step 2: Convert to fraction form
    3,698.90/5,104.49 = 2,020.32/x
  3. Step 3: Cross multiply
    3,698.90x = 5,104.49 × 2,020.32
  4. Step 4: Simplify right side
    3,698.90x = 10,312,703.24
  5. Step 5: Solve for x
    x = 10,312,703.24/3,698.90
  6. Step 6: Final answer
    x = 2,788.05

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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.