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Finding the Fourth Proportional to 3,958.59, 5,463 and 2,561.34

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Solution

The fourth proportional to 3,958.59, 5,463 and 2,561.34 is: 3,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.59 : 5,463 = 2,561.34 : x
  2. Step 2: Convert to fraction form
    3,958.59/5,463 = 2,561.34/x
  3. Step 3: Cross multiply
    3,958.59x = 5,463 × 2,561.34
  4. Step 4: Simplify right side
    3,958.59x = 13,992,600.42
  5. Step 5: Solve for x
    x = 13,992,600.42/3,958.59
  6. Step 6: Final answer
    x = 3,534.74

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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.