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Finding the Fourth Proportional to 6,410.43, 8,846.46 and 3,578.00

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Solution

The fourth proportional to 6,410.43, 8,846.46 and 3,578.00 is: 4,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.43 : 8,846.46 = 3,578.00 : x
  2. Step 2: Convert to fraction form
    6,410.43/8,846.46 = 3,578.00/x
  3. Step 3: Cross multiply
    6,410.43x = 8,846.46 × 3,578.00
  4. Step 4: Simplify right side
    6,410.43x = 31,652,589.65
  5. Step 5: Solve for x
    x = 31,652,589.65/6,410.43
  6. Step 6: Final answer
    x = 4,937.67

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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.