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Finding the Fourth Proportional to 4,752.97, 7,129.23 and 3,193.63

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Solution

The fourth proportional to 4,752.97, 7,129.23 and 3,193.63 is: 4,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.97 : 7,129.23 = 3,193.63 : x
  2. Step 2: Convert to fraction form
    4,752.97/7,129.23 = 3,193.63/x
  3. Step 3: Cross multiply
    4,752.97x = 7,129.23 × 3,193.63
  4. Step 4: Simplify right side
    4,752.97x = 22,768,122.80
  5. Step 5: Solve for x
    x = 22,768,122.80/4,752.97
  6. Step 6: Final answer
    x = 4,790.29

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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.