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Finding the Fourth Proportional to 5,362.44, 7,400.62 and 3,004.80

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Solution

The fourth proportional to 5,362.44, 7,400.62 and 3,004.80 is: 4,146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.44 : 7,400.62 = 3,004.80 : x
  2. Step 2: Convert to fraction form
    5,362.44/7,400.62 = 3,004.80/x
  3. Step 3: Cross multiply
    5,362.44x = 7,400.62 × 3,004.80
  4. Step 4: Simplify right side
    5,362.44x = 22,237,382.98
  5. Step 5: Solve for x
    x = 22,237,382.98/5,362.44
  6. Step 6: Final answer
    x = 4,146.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.