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Finding the Fourth Proportional to 5,611.70, 8,414.57 and 1,715.06

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Solution

The fourth proportional to 5,611.70, 8,414.57 and 1,715.06 is: 2,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.70 : 8,414.57 = 1,715.06 : x
  2. Step 2: Convert to fraction form
    5,611.70/8,414.57 = 1,715.06/x
  3. Step 3: Cross multiply
    5,611.70x = 8,414.57 × 1,715.06
  4. Step 4: Simplify right side
    5,611.70x = 14,431,441.78
  5. Step 5: Solve for x
    x = 14,431,441.78/5,611.70
  6. Step 6: Final answer
    x = 2,571.67

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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.