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Finding the Fourth Proportional to 3,504.81, 5,234.50 and 3,175.09

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Solution

The fourth proportional to 3,504.81, 5,234.50 and 3,175.09 is: 4,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.81 : 5,234.50 = 3,175.09 : x
  2. Step 2: Convert to fraction form
    3,504.81/5,234.50 = 3,175.09/x
  3. Step 3: Cross multiply
    3,504.81x = 5,234.50 × 3,175.09
  4. Step 4: Simplify right side
    3,504.81x = 16,620,008.61
  5. Step 5: Solve for x
    x = 16,620,008.61/3,504.81
  6. Step 6: Final answer
    x = 4,742.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.