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Finding the Fourth Proportional to 4,169.26, 5,754 and 2,401.23

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Solution

The fourth proportional to 4,169.26, 5,754 and 2,401.23 is: 3,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.26 : 5,754 = 2,401.23 : x
  2. Step 2: Convert to fraction form
    4,169.26/5,754 = 2,401.23/x
  3. Step 3: Cross multiply
    4,169.26x = 5,754 × 2,401.23
  4. Step 4: Simplify right side
    4,169.26x = 13,816,677.42
  5. Step 5: Solve for x
    x = 13,816,677.42/4,169.26
  6. Step 6: Final answer
    x = 3,313.94

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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.