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Finding the Fourth Proportional to 5,074.84, 7,614.06 and 3,977.56

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Solution

The fourth proportional to 5,074.84, 7,614.06 and 3,977.56 is: 5,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.84 : 7,614.06 = 3,977.56 : x
  2. Step 2: Convert to fraction form
    5,074.84/7,614.06 = 3,977.56/x
  3. Step 3: Cross multiply
    5,074.84x = 7,614.06 × 3,977.56
  4. Step 4: Simplify right side
    5,074.84x = 30,285,380.49
  5. Step 5: Solve for x
    x = 30,285,380.49/5,074.84
  6. Step 6: Final answer
    x = 5,967.75

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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.