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Finding the Fourth Proportional to 5,890.34, 8,832.66 and 3,425.82

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Solution

The fourth proportional to 5,890.34, 8,832.66 and 3,425.82 is: 5,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.34 : 8,832.66 = 3,425.82 : x
  2. Step 2: Convert to fraction form
    5,890.34/8,832.66 = 3,425.82/x
  3. Step 3: Cross multiply
    5,890.34x = 8,832.66 × 3,425.82
  4. Step 4: Simplify right side
    5,890.34x = 30,259,103.28
  5. Step 5: Solve for x
    x = 30,259,103.28/5,890.34
  6. Step 6: Final answer
    x = 5,137.07

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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.