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Finding the Fourth Proportional to 5,310.53, 7,954.85 and 3,113.96

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Solution

The fourth proportional to 5,310.53, 7,954.85 and 3,113.96 is: 4,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.53 : 7,954.85 = 3,113.96 : x
  2. Step 2: Convert to fraction form
    5,310.53/7,954.85 = 3,113.96/x
  3. Step 3: Cross multiply
    5,310.53x = 7,954.85 × 3,113.96
  4. Step 4: Simplify right side
    5,310.53x = 24,771,057.03
  5. Step 5: Solve for x
    x = 24,771,057.03/5,310.53
  6. Step 6: Final answer
    x = 4,664.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.