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Finding the Fourth Proportional to 4,614.87, 6,368.31 and 2,846.64

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Solution

The fourth proportional to 4,614.87, 6,368.31 and 2,846.64 is: 3,928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.87 : 6,368.31 = 2,846.64 : x
  2. Step 2: Convert to fraction form
    4,614.87/6,368.31 = 2,846.64/x
  3. Step 3: Cross multiply
    4,614.87x = 6,368.31 × 2,846.64
  4. Step 4: Simplify right side
    4,614.87x = 18,128,285.98
  5. Step 5: Solve for x
    x = 18,128,285.98/4,614.87
  6. Step 6: Final answer
    x = 3,928.23

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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.