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Finding the Fourth Proportional to 3,958.93, 5,464.56 and 2,465.97

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Solution

The fourth proportional to 3,958.93, 5,464.56 and 2,465.97 is: 3,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.93 : 5,464.56 = 2,465.97 : x
  2. Step 2: Convert to fraction form
    3,958.93/5,464.56 = 2,465.97/x
  3. Step 3: Cross multiply
    3,958.93x = 5,464.56 × 2,465.97
  4. Step 4: Simplify right side
    3,958.93x = 13,475,441.02
  5. Step 5: Solve for x
    x = 13,475,441.02/3,958.93
  6. Step 6: Final answer
    x = 3,403.81

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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.