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Finding the Fourth Proportional to 5,447.80, 7,519.62 and 3,209.50

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Solution

The fourth proportional to 5,447.80, 7,519.62 and 3,209.50 is: 4,430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.80 : 7,519.62 = 3,209.50 : x
  2. Step 2: Convert to fraction form
    5,447.80/7,519.62 = 3,209.50/x
  3. Step 3: Cross multiply
    5,447.80x = 7,519.62 × 3,209.50
  4. Step 4: Simplify right side
    5,447.80x = 24,134,220.39
  5. Step 5: Solve for x
    x = 24,134,220.39/5,447.80
  6. Step 6: Final answer
    x = 4,430.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.