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Finding the Fourth Proportional to 8,549.75, 12,823.00 and 3,622.85

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Solution

The fourth proportional to 8,549.75, 12,823.00 and 3,622.85 is: 5,433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.75 : 12,823.00 = 3,622.85 : x
  2. Step 2: Convert to fraction form
    8,549.75/12,823.00 = 3,622.85/x
  3. Step 3: Cross multiply
    8,549.75x = 12,823.00 × 3,622.85
  4. Step 4: Simplify right side
    8,549.75x = 46,455,828.55
  5. Step 5: Solve for x
    x = 46,455,828.55/8,549.75
  6. Step 6: Final answer
    x = 5,433.59

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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.