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Finding the Fourth Proportional to 4,644.75, 6,409.76 and 2,548.83

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Solution

The fourth proportional to 4,644.75, 6,409.76 and 2,548.83 is: 3,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.75 : 6,409.76 = 2,548.83 : x
  2. Step 2: Convert to fraction form
    4,644.75/6,409.76 = 2,548.83/x
  3. Step 3: Cross multiply
    4,644.75x = 6,409.76 × 2,548.83
  4. Step 4: Simplify right side
    4,644.75x = 16,337,375.84
  5. Step 5: Solve for x
    x = 16,337,375.84/4,644.75
  6. Step 6: Final answer
    x = 3,517.39

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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.