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Finding the Fourth Proportional to 5,745, 7,929.20 and 3,752.12

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Solution

The fourth proportional to 5,745, 7,929.20 and 3,752.12 is: 5,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745 : 7,929.20 = 3,752.12 : x
  2. Step 2: Convert to fraction form
    5,745/7,929.20 = 3,752.12/x
  3. Step 3: Cross multiply
    5,745x = 7,929.20 × 3,752.12
  4. Step 4: Simplify right side
    5,745x = 29,751,309.90
  5. Step 5: Solve for x
    x = 29,751,309.90/5,745
  6. Step 6: Final answer
    x = 5,178.64

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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.