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Finding the Fourth Proportional to 5,385.80, 8,072.30 and 2,265.80

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Solution

The fourth proportional to 5,385.80, 8,072.30 and 2,265.80 is: 3,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.80 : 8,072.30 = 2,265.80 : x
  2. Step 2: Convert to fraction form
    5,385.80/8,072.30 = 2,265.80/x
  3. Step 3: Cross multiply
    5,385.80x = 8,072.30 × 2,265.80
  4. Step 4: Simplify right side
    5,385.80x = 18,290,217.34
  5. Step 5: Solve for x
    x = 18,290,217.34/5,385.80
  6. Step 6: Final answer
    x = 3,396.01

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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.