Home / 5,161.96-7,743.42-1,464.28

Finding the Fourth Proportional to 5,161.96, 7,743.42 and 1,464.28

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Solution

The fourth proportional to 5,161.96, 7,743.42 and 1,464.28 is: 2,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.96 : 7,743.42 = 1,464.28 : x
  2. Step 2: Convert to fraction form
    5,161.96/7,743.42 = 1,464.28/x
  3. Step 3: Cross multiply
    5,161.96x = 7,743.42 × 1,464.28
  4. Step 4: Simplify right side
    5,161.96x = 11,338,535.04
  5. Step 5: Solve for x
    x = 11,338,535.04/5,161.96
  6. Step 6: Final answer
    x = 2,196.56

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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.