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Finding the Fourth Proportional to 4,162.60, 6,211.29 and 4,138.30

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Solution

The fourth proportional to 4,162.60, 6,211.29 and 4,138.30 is: 6,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.60 : 6,211.29 = 4,138.30 : x
  2. Step 2: Convert to fraction form
    4,162.60/6,211.29 = 4,138.30/x
  3. Step 3: Cross multiply
    4,162.60x = 6,211.29 × 4,138.30
  4. Step 4: Simplify right side
    4,162.60x = 25,704,181.41
  5. Step 5: Solve for x
    x = 25,704,181.41/4,162.60
  6. Step 6: Final answer
    x = 6,175.03

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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.