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Finding the Fourth Proportional to 6,172.50, 8,519.34 and 3,933.84

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Solution

The fourth proportional to 6,172.50, 8,519.34 and 3,933.84 is: 5,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.50 : 8,519.34 = 3,933.84 : x
  2. Step 2: Convert to fraction form
    6,172.50/8,519.34 = 3,933.84/x
  3. Step 3: Cross multiply
    6,172.50x = 8,519.34 × 3,933.84
  4. Step 4: Simplify right side
    6,172.50x = 33,513,720.47
  5. Step 5: Solve for x
    x = 33,513,720.47/6,172.50
  6. Step 6: Final answer
    x = 5,429.52

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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.