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Finding the Fourth Proportional to 5,442.53, 8,163.63 and 3,236.49

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Solution

The fourth proportional to 5,442.53, 8,163.63 and 3,236.49 is: 4,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.53 : 8,163.63 = 3,236.49 : x
  2. Step 2: Convert to fraction form
    5,442.53/8,163.63 = 3,236.49/x
  3. Step 3: Cross multiply
    5,442.53x = 8,163.63 × 3,236.49
  4. Step 4: Simplify right side
    5,442.53x = 26,421,506.86
  5. Step 5: Solve for x
    x = 26,421,506.86/5,442.53
  6. Step 6: Final answer
    x = 4,854.64

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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.