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Finding the Fourth Proportional to 4,560.94, 6,294.23 and 2,571.56

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Solution

The fourth proportional to 4,560.94, 6,294.23 and 2,571.56 is: 3,548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.94 : 6,294.23 = 2,571.56 : x
  2. Step 2: Convert to fraction form
    4,560.94/6,294.23 = 2,571.56/x
  3. Step 3: Cross multiply
    4,560.94x = 6,294.23 × 2,571.56
  4. Step 4: Simplify right side
    4,560.94x = 16,185,990.10
  5. Step 5: Solve for x
    x = 16,185,990.10/4,560.94
  6. Step 6: Final answer
    x = 3,548.83

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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.