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Finding the Fourth Proportional to 4,763.44, 7,149.80 and 2,300

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Solution

The fourth proportional to 4,763.44, 7,149.80 and 2,300 is: 3,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.44 : 7,149.80 = 2,300 : x
  2. Step 2: Convert to fraction form
    4,763.44/7,149.80 = 2,300/x
  3. Step 3: Cross multiply
    4,763.44x = 7,149.80 × 2,300
  4. Step 4: Simplify right side
    4,763.44x = 16,444,540
  5. Step 5: Solve for x
    x = 16,444,540/4,763.44
  6. Step 6: Final answer
    x = 3,452.24

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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.