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Finding the Fourth Proportional to 3,745.65, 5,619.03 and 1,990.20

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Solution

The fourth proportional to 3,745.65, 5,619.03 and 1,990.20 is: 2,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.65 : 5,619.03 = 1,990.20 : x
  2. Step 2: Convert to fraction form
    3,745.65/5,619.03 = 1,990.20/x
  3. Step 3: Cross multiply
    3,745.65x = 5,619.03 × 1,990.20
  4. Step 4: Simplify right side
    3,745.65x = 11,183,007.11
  5. Step 5: Solve for x
    x = 11,183,007.11/3,745.65
  6. Step 6: Final answer
    x = 2,985.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.