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Finding the Fourth Proportional to 5,074.68, 7,604.16 and 3,517.73

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Solution

The fourth proportional to 5,074.68, 7,604.16 and 3,517.73 is: 5,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.68 : 7,604.16 = 3,517.73 : x
  2. Step 2: Convert to fraction form
    5,074.68/7,604.16 = 3,517.73/x
  3. Step 3: Cross multiply
    5,074.68x = 7,604.16 × 3,517.73
  4. Step 4: Simplify right side
    5,074.68x = 26,749,343.74
  5. Step 5: Solve for x
    x = 26,749,343.74/5,074.68
  6. Step 6: Final answer
    x = 5,271.14

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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.