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Finding the Fourth Proportional to 4,676.28, 7,017.71 and 4,229.63

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Solution

The fourth proportional to 4,676.28, 7,017.71 and 4,229.63 is: 6,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.28 : 7,017.71 = 4,229.63 : x
  2. Step 2: Convert to fraction form
    4,676.28/7,017.71 = 4,229.63/x
  3. Step 3: Cross multiply
    4,676.28x = 7,017.71 × 4,229.63
  4. Step 4: Simplify right side
    4,676.28x = 29,682,295.60
  5. Step 5: Solve for x
    x = 29,682,295.60/4,676.28
  6. Step 6: Final answer
    x = 6,347.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.