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Finding the Fourth Proportional to 3,828.98, 5,741.07 and 1,607.21

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Solution

The fourth proportional to 3,828.98, 5,741.07 and 1,607.21 is: 2,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.98 : 5,741.07 = 1,607.21 : x
  2. Step 2: Convert to fraction form
    3,828.98/5,741.07 = 1,607.21/x
  3. Step 3: Cross multiply
    3,828.98x = 5,741.07 × 1,607.21
  4. Step 4: Simplify right side
    3,828.98x = 9,227,105.11
  5. Step 5: Solve for x
    x = 9,227,105.11/3,828.98
  6. Step 6: Final answer
    x = 2,409.81

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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.