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Finding the Fourth Proportional to 5,180.45, 7,769.94 and 1,482.99

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Solution

The fourth proportional to 5,180.45, 7,769.94 and 1,482.99 is: 2,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.45 : 7,769.94 = 1,482.99 : x
  2. Step 2: Convert to fraction form
    5,180.45/7,769.94 = 1,482.99/x
  3. Step 3: Cross multiply
    5,180.45x = 7,769.94 × 1,482.99
  4. Step 4: Simplify right side
    5,180.45x = 11,522,743.32
  5. Step 5: Solve for x
    x = 11,522,743.32/5,180.45
  6. Step 6: Final answer
    x = 2,224.28

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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.