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Finding the Fourth Proportional to 3,442.08, 5,163.09 and 1,493.82

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Solution

The fourth proportional to 3,442.08, 5,163.09 and 1,493.82 is: 2,240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.08 : 5,163.09 = 1,493.82 : x
  2. Step 2: Convert to fraction form
    3,442.08/5,163.09 = 1,493.82/x
  3. Step 3: Cross multiply
    3,442.08x = 5,163.09 × 1,493.82
  4. Step 4: Simplify right side
    3,442.08x = 7,712,727.10
  5. Step 5: Solve for x
    x = 7,712,727.10/3,442.08
  6. Step 6: Final answer
    x = 2,240.72

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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.