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Finding the Fourth Proportional to 5,408.52, 7,458.34 and 3,989.80

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Solution

The fourth proportional to 5,408.52, 7,458.34 and 3,989.80 is: 5,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.52 : 7,458.34 = 3,989.80 : x
  2. Step 2: Convert to fraction form
    5,408.52/7,458.34 = 3,989.80/x
  3. Step 3: Cross multiply
    5,408.52x = 7,458.34 × 3,989.80
  4. Step 4: Simplify right side
    5,408.52x = 29,757,284.93
  5. Step 5: Solve for x
    x = 29,757,284.93/5,408.52
  6. Step 6: Final answer
    x = 5,501.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.