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Finding the Fourth Proportional to 6,172.96, 8,519.50 and 3,484.72

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Solution

The fourth proportional to 6,172.96, 8,519.50 and 3,484.72 is: 4,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.96 : 8,519.50 = 3,484.72 : x
  2. Step 2: Convert to fraction form
    6,172.96/8,519.50 = 3,484.72/x
  3. Step 3: Cross multiply
    6,172.96x = 8,519.50 × 3,484.72
  4. Step 4: Simplify right side
    6,172.96x = 29,688,072.04
  5. Step 5: Solve for x
    x = 29,688,072.04/6,172.96
  6. Step 6: Final answer
    x = 4,809.37

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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.