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Finding the Fourth Proportional to 4,147.96, 5,722.96 and 2,468.52

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Solution

The fourth proportional to 4,147.96, 5,722.96 and 2,468.52 is: 3,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.96 : 5,722.96 = 2,468.52 : x
  2. Step 2: Convert to fraction form
    4,147.96/5,722.96 = 2,468.52/x
  3. Step 3: Cross multiply
    4,147.96x = 5,722.96 × 2,468.52
  4. Step 4: Simplify right side
    4,147.96x = 14,127,241.22
  5. Step 5: Solve for x
    x = 14,127,241.22/4,147.96
  6. Step 6: Final answer
    x = 3,405.83

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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.