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Finding the Fourth Proportional to 4,716.82, 7,074.42 and 2,638.90

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Solution

The fourth proportional to 4,716.82, 7,074.42 and 2,638.90 is: 3,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.82 : 7,074.42 = 2,638.90 : x
  2. Step 2: Convert to fraction form
    4,716.82/7,074.42 = 2,638.90/x
  3. Step 3: Cross multiply
    4,716.82x = 7,074.42 × 2,638.90
  4. Step 4: Simplify right side
    4,716.82x = 18,668,686.94
  5. Step 5: Solve for x
    x = 18,668,686.94/4,716.82
  6. Step 6: Final answer
    x = 3,957.90

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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.