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Finding the Fourth Proportional to 5,568.42, 8,352.40 and 1,408.56

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Solution

The fourth proportional to 5,568.42, 8,352.40 and 1,408.56 is: 2,112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.42 : 8,352.40 = 1,408.56 : x
  2. Step 2: Convert to fraction form
    5,568.42/8,352.40 = 1,408.56/x
  3. Step 3: Cross multiply
    5,568.42x = 8,352.40 × 1,408.56
  4. Step 4: Simplify right side
    5,568.42x = 11,764,900.76
  5. Step 5: Solve for x
    x = 11,764,900.76/5,568.42
  6. Step 6: Final answer
    x = 2,112.79

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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.