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Finding the Fourth Proportional to 3,568.46, 5,343.57 and 2,397.20

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Solution

The fourth proportional to 3,568.46, 5,343.57 and 2,397.20 is: 3,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.46 : 5,343.57 = 2,397.20 : x
  2. Step 2: Convert to fraction form
    3,568.46/5,343.57 = 2,397.20/x
  3. Step 3: Cross multiply
    3,568.46x = 5,343.57 × 2,397.20
  4. Step 4: Simplify right side
    3,568.46x = 12,809,579.29
  5. Step 5: Solve for x
    x = 12,809,579.29/3,568.46
  6. Step 6: Final answer
    x = 3,589.67

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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.