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Finding the Fourth Proportional to 5,190.48, 7,797.48 and 3,004.56

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Solution

The fourth proportional to 5,190.48, 7,797.48 and 3,004.56 is: 4,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.48 : 7,797.48 = 3,004.56 : x
  2. Step 2: Convert to fraction form
    5,190.48/7,797.48 = 3,004.56/x
  3. Step 3: Cross multiply
    5,190.48x = 7,797.48 × 3,004.56
  4. Step 4: Simplify right side
    5,190.48x = 23,427,996.51
  5. Step 5: Solve for x
    x = 23,427,996.51/5,190.48
  6. Step 6: Final answer
    x = 4,513.65

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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.