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Finding the Fourth Proportional to 5,414.85, 8,121.87 and 1,717.20

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Solution

The fourth proportional to 5,414.85, 8,121.87 and 1,717.20 is: 2,575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.85 : 8,121.87 = 1,717.20 : x
  2. Step 2: Convert to fraction form
    5,414.85/8,121.87 = 1,717.20/x
  3. Step 3: Cross multiply
    5,414.85x = 8,121.87 × 1,717.20
  4. Step 4: Simplify right side
    5,414.85x = 13,946,875.16
  5. Step 5: Solve for x
    x = 13,946,875.16/5,414.85
  6. Step 6: Final answer
    x = 2,575.67

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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.