Home / 4,500-6,749.76-1,726.44

Finding the Fourth Proportional to 4,500, 6,749.76 and 1,726.44

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Solution

The fourth proportional to 4,500, 6,749.76 and 1,726.44 is: 2,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500 : 6,749.76 = 1,726.44 : x
  2. Step 2: Convert to fraction form
    4,500/6,749.76 = 1,726.44/x
  3. Step 3: Cross multiply
    4,500x = 6,749.76 × 1,726.44
  4. Step 4: Simplify right side
    4,500x = 11,653,055.65
  5. Step 5: Solve for x
    x = 11,653,055.65/4,500
  6. Step 6: Final answer
    x = 2,589.57

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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.