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Finding the Fourth Proportional to 8,949.60, 13,414.80 and 3,400.80

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Solution

The fourth proportional to 8,949.60, 13,414.80 and 3,400.80 is: 5,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,949.60 : 13,414.80 = 3,400.80 : x
  2. Step 2: Convert to fraction form
    8,949.60/13,414.80 = 3,400.80/x
  3. Step 3: Cross multiply
    8,949.60x = 13,414.80 × 3,400.80
  4. Step 4: Simplify right side
    8,949.60x = 45,621,051.84
  5. Step 5: Solve for x
    x = 45,621,051.84/8,949.60
  6. Step 6: Final answer
    x = 5,097.55

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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.