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Finding the Fourth Proportional to 8,401.75, 12,604.51 and 2,558.82

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Solution

The fourth proportional to 8,401.75, 12,604.51 and 2,558.82 is: 3,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.75 : 12,604.51 = 2,558.82 : x
  2. Step 2: Convert to fraction form
    8,401.75/12,604.51 = 2,558.82/x
  3. Step 3: Cross multiply
    8,401.75x = 12,604.51 × 2,558.82
  4. Step 4: Simplify right side
    8,401.75x = 32,252,672.28
  5. Step 5: Solve for x
    x = 32,252,672.28/8,401.75
  6. Step 6: Final answer
    x = 3,838.80

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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.