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Finding the Fourth Proportional to 3,911.96, 5,398.53 and 2,143.63

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Solution

The fourth proportional to 3,911.96, 5,398.53 and 2,143.63 is: 2,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.96 : 5,398.53 = 2,143.63 : x
  2. Step 2: Convert to fraction form
    3,911.96/5,398.53 = 2,143.63/x
  3. Step 3: Cross multiply
    3,911.96x = 5,398.53 × 2,143.63
  4. Step 4: Simplify right side
    3,911.96x = 11,572,471.75
  5. Step 5: Solve for x
    x = 11,572,471.75/3,911.96
  6. Step 6: Final answer
    x = 2,958.23

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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.