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Finding the Fourth Proportional to 3,519.80, 5,270.54 and 3,415.89

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Solution

The fourth proportional to 3,519.80, 5,270.54 and 3,415.89 is: 5,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.80 : 5,270.54 = 3,415.89 : x
  2. Step 2: Convert to fraction form
    3,519.80/5,270.54 = 3,415.89/x
  3. Step 3: Cross multiply
    3,519.80x = 5,270.54 × 3,415.89
  4. Step 4: Simplify right side
    3,519.80x = 18,003,567.80
  5. Step 5: Solve for x
    x = 18,003,567.80/3,519.80
  6. Step 6: Final answer
    x = 5,114.95

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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.