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Finding the Fourth Proportional to 5,684.96, 8,516.50 and 4,219.68

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Solution

The fourth proportional to 5,684.96, 8,516.50 and 4,219.68 is: 6,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.96 : 8,516.50 = 4,219.68 : x
  2. Step 2: Convert to fraction form
    5,684.96/8,516.50 = 4,219.68/x
  3. Step 3: Cross multiply
    5,684.96x = 8,516.50 × 4,219.68
  4. Step 4: Simplify right side
    5,684.96x = 35,936,904.72
  5. Step 5: Solve for x
    x = 35,936,904.72/5,684.96
  6. Step 6: Final answer
    x = 6,321.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.