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Finding the Fourth Proportional to 3,790.98, 5,682.87 and 1,324.19

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Solution

The fourth proportional to 3,790.98, 5,682.87 and 1,324.19 is: 1,985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.98 : 5,682.87 = 1,324.19 : x
  2. Step 2: Convert to fraction form
    3,790.98/5,682.87 = 1,324.19/x
  3. Step 3: Cross multiply
    3,790.98x = 5,682.87 × 1,324.19
  4. Step 4: Simplify right side
    3,790.98x = 7,525,187.56
  5. Step 5: Solve for x
    x = 7,525,187.56/3,790.98
  6. Step 6: Final answer
    x = 1,985.03

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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.