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Finding the Fourth Proportional to 4,161.88, 5,741.40 and 3,040.96

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Solution

The fourth proportional to 4,161.88, 5,741.40 and 3,040.96 is: 4,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.88 : 5,741.40 = 3,040.96 : x
  2. Step 2: Convert to fraction form
    4,161.88/5,741.40 = 3,040.96/x
  3. Step 3: Cross multiply
    4,161.88x = 5,741.40 × 3,040.96
  4. Step 4: Simplify right side
    4,161.88x = 17,459,367.74
  5. Step 5: Solve for x
    x = 17,459,367.74/4,161.88
  6. Step 6: Final answer
    x = 4,195.07

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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.