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Finding the Fourth Proportional to 5,763.56, 8,640.22 and 2,113

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Solution

The fourth proportional to 5,763.56, 8,640.22 and 2,113 is: 3,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.56 : 8,640.22 = 2,113 : x
  2. Step 2: Convert to fraction form
    5,763.56/8,640.22 = 2,113/x
  3. Step 3: Cross multiply
    5,763.56x = 8,640.22 × 2,113
  4. Step 4: Simplify right side
    5,763.56x = 18,256,784.86
  5. Step 5: Solve for x
    x = 18,256,784.86/5,763.56
  6. Step 6: Final answer
    x = 3,167.62

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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.