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Finding the Fourth Proportional to 6,433.92, 8,879.20 and 4,546.24

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Solution

The fourth proportional to 6,433.92, 8,879.20 and 4,546.24 is: 6,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.92 : 8,879.20 = 4,546.24 : x
  2. Step 2: Convert to fraction form
    6,433.92/8,879.20 = 4,546.24/x
  3. Step 3: Cross multiply
    6,433.92x = 8,879.20 × 4,546.24
  4. Step 4: Simplify right side
    6,433.92x = 40,366,974.21
  5. Step 5: Solve for x
    x = 40,366,974.21/6,433.92
  6. Step 6: Final answer
    x = 6,274.09

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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.