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Finding the Fourth Proportional to 4,162.86, 5,745.32 and 2,394.42

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Solution

The fourth proportional to 4,162.86, 5,745.32 and 2,394.42 is: 3,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.86 : 5,745.32 = 2,394.42 : x
  2. Step 2: Convert to fraction form
    4,162.86/5,745.32 = 2,394.42/x
  3. Step 3: Cross multiply
    4,162.86x = 5,745.32 × 2,394.42
  4. Step 4: Simplify right side
    4,162.86x = 13,756,697.14
  5. Step 5: Solve for x
    x = 13,756,697.14/4,162.86
  6. Step 6: Final answer
    x = 3,304.63

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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.