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Finding the Fourth Proportional to 5,321.94, 7,989.97 and 4,546.92

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Solution

The fourth proportional to 5,321.94, 7,989.97 and 4,546.92 is: 6,826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.94 : 7,989.97 = 4,546.92 : x
  2. Step 2: Convert to fraction form
    5,321.94/7,989.97 = 4,546.92/x
  3. Step 3: Cross multiply
    5,321.94x = 7,989.97 × 4,546.92
  4. Step 4: Simplify right side
    5,321.94x = 36,329,740.10
  5. Step 5: Solve for x
    x = 36,329,740.10/5,321.94
  6. Step 6: Final answer
    x = 6,826.41

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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.