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Finding the Fourth Proportional to 3,401.96, 4,687.67 and 2,605.23

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Solution

The fourth proportional to 3,401.96, 4,687.67 and 2,605.23 is: 3,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.96 : 4,687.67 = 2,605.23 : x
  2. Step 2: Convert to fraction form
    3,401.96/4,687.67 = 2,605.23/x
  3. Step 3: Cross multiply
    3,401.96x = 4,687.67 × 2,605.23
  4. Step 4: Simplify right side
    3,401.96x = 12,212,465.03
  5. Step 5: Solve for x
    x = 12,212,465.03/3,401.96
  6. Step 6: Final answer
    x = 3,589.84

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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.