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Finding the Fourth Proportional to 4,716.84, 7,078.25 and 2,638.21

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Solution

The fourth proportional to 4,716.84, 7,078.25 and 2,638.21 is: 3,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.84 : 7,078.25 = 2,638.21 : x
  2. Step 2: Convert to fraction form
    4,716.84/7,078.25 = 2,638.21/x
  3. Step 3: Cross multiply
    4,716.84x = 7,078.25 × 2,638.21
  4. Step 4: Simplify right side
    4,716.84x = 18,673,909.93
  5. Step 5: Solve for x
    x = 18,673,909.93/4,716.84
  6. Step 6: Final answer
    x = 3,958.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.