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Finding the Fourth Proportional to 5,442.59, 8,163.72 and 1,745.07

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Solution

The fourth proportional to 5,442.59, 8,163.72 and 1,745.07 is: 2,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.59 : 8,163.72 = 1,745.07 : x
  2. Step 2: Convert to fraction form
    5,442.59/8,163.72 = 1,745.07/x
  3. Step 3: Cross multiply
    5,442.59x = 8,163.72 × 1,745.07
  4. Step 4: Simplify right side
    5,442.59x = 14,246,262.86
  5. Step 5: Solve for x
    x = 14,246,262.86/5,442.59
  6. Step 6: Final answer
    x = 2,617.55

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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.