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Finding the Fourth Proportional to 5,103.80, 7,649.30 and 2,763.80

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Solution

The fourth proportional to 5,103.80, 7,649.30 and 2,763.80 is: 4,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.80 : 7,649.30 = 2,763.80 : x
  2. Step 2: Convert to fraction form
    5,103.80/7,649.30 = 2,763.80/x
  3. Step 3: Cross multiply
    5,103.80x = 7,649.30 × 2,763.80
  4. Step 4: Simplify right side
    5,103.80x = 21,141,135.34
  5. Step 5: Solve for x
    x = 21,141,135.34/5,103.80
  6. Step 6: Final answer
    x = 4,142.23

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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.