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Finding the Fourth Proportional to 4,644.78, 6,409.77 and 2,548.86

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Solution

The fourth proportional to 4,644.78, 6,409.77 and 2,548.86 is: 3,517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.78 : 6,409.77 = 2,548.86 : x
  2. Step 2: Convert to fraction form
    4,644.78/6,409.77 = 2,548.86/x
  3. Step 3: Cross multiply
    4,644.78x = 6,409.77 × 2,548.86
  4. Step 4: Simplify right side
    4,644.78x = 16,337,606.36
  5. Step 5: Solve for x
    x = 16,337,606.36/4,644.78
  6. Step 6: Final answer
    x = 3,517.41

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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.