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Finding the Fourth Proportional to 4,662.94, 6,434.32 and 2,893.90

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Solution

The fourth proportional to 4,662.94, 6,434.32 and 2,893.90 is: 3,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.94 : 6,434.32 = 2,893.90 : x
  2. Step 2: Convert to fraction form
    4,662.94/6,434.32 = 2,893.90/x
  3. Step 3: Cross multiply
    4,662.94x = 6,434.32 × 2,893.90
  4. Step 4: Simplify right side
    4,662.94x = 18,620,278.65
  5. Step 5: Solve for x
    x = 18,620,278.65/4,662.94
  6. Step 6: Final answer
    x = 3,993.25

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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.