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Finding the Fourth Proportional to 3,826.98, 5,738.07 and 1,605.21

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Solution

The fourth proportional to 3,826.98, 5,738.07 and 1,605.21 is: 2,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.98 : 5,738.07 = 1,605.21 : x
  2. Step 2: Convert to fraction form
    3,826.98/5,738.07 = 1,605.21/x
  3. Step 3: Cross multiply
    3,826.98x = 5,738.07 × 1,605.21
  4. Step 4: Simplify right side
    3,826.98x = 9,210,807.34
  5. Step 5: Solve for x
    x = 9,210,807.34/3,826.98
  6. Step 6: Final answer
    x = 2,406.81

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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.