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Finding the Fourth Proportional to 4,232.05, 6,348.26 and 1,310.41

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Solution

The fourth proportional to 4,232.05, 6,348.26 and 1,310.41 is: 1,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.05 : 6,348.26 = 1,310.41 : x
  2. Step 2: Convert to fraction form
    4,232.05/6,348.26 = 1,310.41/x
  3. Step 3: Cross multiply
    4,232.05x = 6,348.26 × 1,310.41
  4. Step 4: Simplify right side
    4,232.05x = 8,318,823.39
  5. Step 5: Solve for x
    x = 8,318,823.39/4,232.05
  6. Step 6: Final answer
    x = 1,965.67

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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.