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Finding the Fourth Proportional to 4,146.86, 5,723.42 and 2,469.25

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Solution

The fourth proportional to 4,146.86, 5,723.42 and 2,469.25 is: 3,408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.86 : 5,723.42 = 2,469.25 : x
  2. Step 2: Convert to fraction form
    4,146.86/5,723.42 = 2,469.25/x
  3. Step 3: Cross multiply
    4,146.86x = 5,723.42 × 2,469.25
  4. Step 4: Simplify right side
    4,146.86x = 14,132,554.84
  5. Step 5: Solve for x
    x = 14,132,554.84/4,146.86
  6. Step 6: Final answer
    x = 3,408.01

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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.