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Finding the Fourth Proportional to 3,956.94, 5,462.25 and 2,465.59

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Solution

The fourth proportional to 3,956.94, 5,462.25 and 2,465.59 is: 3,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.94 : 5,462.25 = 2,465.59 : x
  2. Step 2: Convert to fraction form
    3,956.94/5,462.25 = 2,465.59/x
  3. Step 3: Cross multiply
    3,956.94x = 5,462.25 × 2,465.59
  4. Step 4: Simplify right side
    3,956.94x = 13,467,679.93
  5. Step 5: Solve for x
    x = 13,467,679.93/3,956.94
  6. Step 6: Final answer
    x = 3,403.56

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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.