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Finding the Fourth Proportional to 3,901.69, 5,853.79 and 1,401.19

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Solution

The fourth proportional to 3,901.69, 5,853.79 and 1,401.19 is: 2,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.69 : 5,853.79 = 1,401.19 : x
  2. Step 2: Convert to fraction form
    3,901.69/5,853.79 = 1,401.19/x
  3. Step 3: Cross multiply
    3,901.69x = 5,853.79 × 1,401.19
  4. Step 4: Simplify right side
    3,901.69x = 8,202,272.01
  5. Step 5: Solve for x
    x = 8,202,272.01/3,901.69
  6. Step 6: Final answer
    x = 2,102.24

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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.