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Finding the Fourth Proportional to 3,679.80, 5,515.38 and 1,830.36

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Solution

The fourth proportional to 3,679.80, 5,515.38 and 1,830.36 is: 2,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.80 : 5,515.38 = 1,830.36 : x
  2. Step 2: Convert to fraction form
    3,679.80/5,515.38 = 1,830.36/x
  3. Step 3: Cross multiply
    3,679.80x = 5,515.38 × 1,830.36
  4. Step 4: Simplify right side
    3,679.80x = 10,095,130.94
  5. Step 5: Solve for x
    x = 10,095,130.94/3,679.80
  6. Step 6: Final answer
    x = 2,743.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.