Home / 3,670.80-5,509.26-1,824

Finding the Fourth Proportional to 3,670.80, 5,509.26 and 1,824

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Solution

The fourth proportional to 3,670.80, 5,509.26 and 1,824 is: 2,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.80 : 5,509.26 = 1,824 : x
  2. Step 2: Convert to fraction form
    3,670.80/5,509.26 = 1,824/x
  3. Step 3: Cross multiply
    3,670.80x = 5,509.26 × 1,824
  4. Step 4: Simplify right side
    3,670.80x = 10,048,890.24
  5. Step 5: Solve for x
    x = 10,048,890.24/3,670.80
  6. Step 6: Final answer
    x = 2,737.52

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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.