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Finding the Fourth Proportional to 4,644.72, 6,409.68 and 2,548.80

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Solution

The fourth proportional to 4,644.72, 6,409.68 and 2,548.80 is: 3,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.72 : 6,409.68 = 2,548.80 : x
  2. Step 2: Convert to fraction form
    4,644.72/6,409.68 = 2,548.80/x
  3. Step 3: Cross multiply
    4,644.72x = 6,409.68 × 2,548.80
  4. Step 4: Simplify right side
    4,644.72x = 16,336,992.38
  5. Step 5: Solve for x
    x = 16,336,992.38/4,644.72
  6. Step 6: Final answer
    x = 3,517.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.