Home / 5,474.56-8,209.28-1,824

Finding the Fourth Proportional to 5,474.56, 8,209.28 and 1,824

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Solution

The fourth proportional to 5,474.56, 8,209.28 and 1,824 is: 2,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.56 : 8,209.28 = 1,824 : x
  2. Step 2: Convert to fraction form
    5,474.56/8,209.28 = 1,824/x
  3. Step 3: Cross multiply
    5,474.56x = 8,209.28 × 1,824
  4. Step 4: Simplify right side
    5,474.56x = 14,973,726.72
  5. Step 5: Solve for x
    x = 14,973,726.72/5,474.56
  6. Step 6: Final answer
    x = 2,735.15

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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.