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Finding the Fourth Proportional to 8,299.22, 12,449 and 2,455.84

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Solution

The fourth proportional to 8,299.22, 12,449 and 2,455.84 is: 3,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.22 : 12,449 = 2,455.84 : x
  2. Step 2: Convert to fraction form
    8,299.22/12,449 = 2,455.84/x
  3. Step 3: Cross multiply
    8,299.22x = 12,449 × 2,455.84
  4. Step 4: Simplify right side
    8,299.22x = 30,572,752.16
  5. Step 5: Solve for x
    x = 30,572,752.16/8,299.22
  6. Step 6: Final answer
    x = 3,683.81

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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.