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Finding the Fourth Proportional to 5,635.40, 8,453.10 and 5,408.60

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Solution

The fourth proportional to 5,635.40, 8,453.10 and 5,408.60 is: 8,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.40 : 8,453.10 = 5,408.60 : x
  2. Step 2: Convert to fraction form
    5,635.40/8,453.10 = 5,408.60/x
  3. Step 3: Cross multiply
    5,635.40x = 8,453.10 × 5,408.60
  4. Step 4: Simplify right side
    5,635.40x = 45,719,436.66
  5. Step 5: Solve for x
    x = 45,719,436.66/5,635.40
  6. Step 6: Final answer
    x = 8,112.90

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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.