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Finding the Fourth Proportional to 4,768.63, 6,580.44 and 2,644.03

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Solution

The fourth proportional to 4,768.63, 6,580.44 and 2,644.03 is: 3,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.63 : 6,580.44 = 2,644.03 : x
  2. Step 2: Convert to fraction form
    4,768.63/6,580.44 = 2,644.03/x
  3. Step 3: Cross multiply
    4,768.63x = 6,580.44 × 2,644.03
  4. Step 4: Simplify right side
    4,768.63x = 17,398,868.59
  5. Step 5: Solve for x
    x = 17,398,868.59/4,768.63
  6. Step 6: Final answer
    x = 3,648.61

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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.