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Finding the Fourth Proportional to 5,414.43, 8,122.71 and 1,715.67

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Solution

The fourth proportional to 5,414.43, 8,122.71 and 1,715.67 is: 2,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.43 : 8,122.71 = 1,715.67 : x
  2. Step 2: Convert to fraction form
    5,414.43/8,122.71 = 1,715.67/x
  3. Step 3: Cross multiply
    5,414.43x = 8,122.71 × 1,715.67
  4. Step 4: Simplify right side
    5,414.43x = 13,935,889.87
  5. Step 5: Solve for x
    x = 13,935,889.87/5,414.43
  6. Step 6: Final answer
    x = 2,573.84

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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.