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Finding the Fourth Proportional to 4,744.58, 7,102.74 and 3,517.43

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Solution

The fourth proportional to 4,744.58, 7,102.74 and 3,517.43 is: 5,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.58 : 7,102.74 = 3,517.43 : x
  2. Step 2: Convert to fraction form
    4,744.58/7,102.74 = 3,517.43/x
  3. Step 3: Cross multiply
    4,744.58x = 7,102.74 × 3,517.43
  4. Step 4: Simplify right side
    4,744.58x = 24,983,348.65
  5. Step 5: Solve for x
    x = 24,983,348.65/4,744.58
  6. Step 6: Final answer
    x = 5,265.67

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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.