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Finding the Fourth Proportional to 5,846.52, 8,767.76 and 4,198.20

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Solution

The fourth proportional to 5,846.52, 8,767.76 and 4,198.20 is: 6,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.52 : 8,767.76 = 4,198.20 : x
  2. Step 2: Convert to fraction form
    5,846.52/8,767.76 = 4,198.20/x
  3. Step 3: Cross multiply
    5,846.52x = 8,767.76 × 4,198.20
  4. Step 4: Simplify right side
    5,846.52x = 36,808,810.03
  5. Step 5: Solve for x
    x = 36,808,810.03/5,846.52
  6. Step 6: Final answer
    x = 6,295.85

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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.