Home / 4,134.82-6,202.26-1,537.75

Finding the Fourth Proportional to 4,134.82, 6,202.26 and 1,537.75

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Solution

The fourth proportional to 4,134.82, 6,202.26 and 1,537.75 is: 2,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.82 : 6,202.26 = 1,537.75 : x
  2. Step 2: Convert to fraction form
    4,134.82/6,202.26 = 1,537.75/x
  3. Step 3: Cross multiply
    4,134.82x = 6,202.26 × 1,537.75
  4. Step 4: Simplify right side
    4,134.82x = 9,537,525.32
  5. Step 5: Solve for x
    x = 9,537,525.32/4,134.82
  6. Step 6: Final answer
    x = 2,306.64

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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.