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Finding the Fourth Proportional to 6,172.16, 8,517.59 and 3,519.50

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Solution

The fourth proportional to 6,172.16, 8,517.59 and 3,519.50 is: 4,856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.16 : 8,517.59 = 3,519.50 : x
  2. Step 2: Convert to fraction form
    6,172.16/8,517.59 = 3,519.50/x
  3. Step 3: Cross multiply
    6,172.16x = 8,517.59 × 3,519.50
  4. Step 4: Simplify right side
    6,172.16x = 29,977,597.82
  5. Step 5: Solve for x
    x = 29,977,597.82/6,172.16
  6. Step 6: Final answer
    x = 4,856.91

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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.