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Finding the Fourth Proportional to 4,644.73, 6,406.20 and 3,028.57

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Solution

The fourth proportional to 4,644.73, 6,406.20 and 3,028.57 is: 4,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.73 : 6,406.20 = 3,028.57 : x
  2. Step 2: Convert to fraction form
    4,644.73/6,406.20 = 3,028.57/x
  3. Step 3: Cross multiply
    4,644.73x = 6,406.20 × 3,028.57
  4. Step 4: Simplify right side
    4,644.73x = 19,401,615.63
  5. Step 5: Solve for x
    x = 19,401,615.63/4,644.73
  6. Step 6: Final answer
    x = 4,177.13

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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.