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Finding the Fourth Proportional to 4,548.96, 6,278.64 and 2,892

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Solution

The fourth proportional to 4,548.96, 6,278.64 and 2,892 is: 3,991.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.96 : 6,278.64 = 2,892 : x
  2. Step 2: Convert to fraction form
    4,548.96/6,278.64 = 2,892/x
  3. Step 3: Cross multiply
    4,548.96x = 6,278.64 × 2,892
  4. Step 4: Simplify right side
    4,548.96x = 18,157,826.88
  5. Step 5: Solve for x
    x = 18,157,826.88/4,548.96
  6. Step 6: Final answer
    x = 3,991.64

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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.