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Finding the Fourth Proportional to 5,411.96, 8,117.33 and 1,516.67

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Solution

The fourth proportional to 5,411.96, 8,117.33 and 1,516.67 is: 2,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.96 : 8,117.33 = 1,516.67 : x
  2. Step 2: Convert to fraction form
    5,411.96/8,117.33 = 1,516.67/x
  3. Step 3: Cross multiply
    5,411.96x = 8,117.33 × 1,516.67
  4. Step 4: Simplify right side
    5,411.96x = 12,311,310.89
  5. Step 5: Solve for x
    x = 12,311,310.89/5,411.96
  6. Step 6: Final answer
    x = 2,274.83

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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.