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Finding the Fourth Proportional to 5,356.92, 8,021.41 and 4,311.21

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Solution

The fourth proportional to 5,356.92, 8,021.41 and 4,311.21 is: 6,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.92 : 8,021.41 = 4,311.21 : x
  2. Step 2: Convert to fraction form
    5,356.92/8,021.41 = 4,311.21/x
  3. Step 3: Cross multiply
    5,356.92x = 8,021.41 × 4,311.21
  4. Step 4: Simplify right side
    5,356.92x = 34,582,002.31
  5. Step 5: Solve for x
    x = 34,582,002.31/5,356.92
  6. Step 6: Final answer
    x = 6,455.57

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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.