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Finding the Fourth Proportional to 4,305.64, 6,464.24 and 2,553.88

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Solution

The fourth proportional to 4,305.64, 6,464.24 and 2,553.88 is: 3,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.64 : 6,464.24 = 2,553.88 : x
  2. Step 2: Convert to fraction form
    4,305.64/6,464.24 = 2,553.88/x
  3. Step 3: Cross multiply
    4,305.64x = 6,464.24 × 2,553.88
  4. Step 4: Simplify right side
    4,305.64x = 16,508,893.25
  5. Step 5: Solve for x
    x = 16,508,893.25/4,305.64
  6. Step 6: Final answer
    x = 3,834.25

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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.