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Finding the Fourth Proportional to 4,816.56, 7,224.80 and 1,353.68

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Solution

The fourth proportional to 4,816.56, 7,224.80 and 1,353.68 is: 2,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.56 : 7,224.80 = 1,353.68 : x
  2. Step 2: Convert to fraction form
    4,816.56/7,224.80 = 1,353.68/x
  3. Step 3: Cross multiply
    4,816.56x = 7,224.80 × 1,353.68
  4. Step 4: Simplify right side
    4,816.56x = 9,780,067.26
  5. Step 5: Solve for x
    x = 9,780,067.26/4,816.56
  6. Step 6: Final answer
    x = 2,030.51

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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.