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Finding the Fourth Proportional to 5,608.96, 8,414.34 and 1,713.04

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Solution

The fourth proportional to 5,608.96, 8,414.34 and 1,713.04 is: 2,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.96 : 8,414.34 = 1,713.04 : x
  2. Step 2: Convert to fraction form
    5,608.96/8,414.34 = 1,713.04/x
  3. Step 3: Cross multiply
    5,608.96x = 8,414.34 × 1,713.04
  4. Step 4: Simplify right side
    5,608.96x = 14,414,100.99
  5. Step 5: Solve for x
    x = 14,414,100.99/5,608.96
  6. Step 6: Final answer
    x = 2,569.83

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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.