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Finding the Fourth Proportional to 8,449.52, 12,669.72 and 3,830

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Solution

The fourth proportional to 8,449.52, 12,669.72 and 3,830 is: 5,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.52 : 12,669.72 = 3,830 : x
  2. Step 2: Convert to fraction form
    8,449.52/12,669.72 = 3,830/x
  3. Step 3: Cross multiply
    8,449.52x = 12,669.72 × 3,830
  4. Step 4: Simplify right side
    8,449.52x = 48,525,027.60
  5. Step 5: Solve for x
    x = 48,525,027.60/8,449.52
  6. Step 6: Final answer
    x = 5,742.93

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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.