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Finding the Fourth Proportional to 3,407.97, 5,109.77 and 1,628.30

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Solution

The fourth proportional to 3,407.97, 5,109.77 and 1,628.30 is: 2,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.97 : 5,109.77 = 1,628.30 : x
  2. Step 2: Convert to fraction form
    3,407.97/5,109.77 = 1,628.30/x
  3. Step 3: Cross multiply
    3,407.97x = 5,109.77 × 1,628.30
  4. Step 4: Simplify right side
    3,407.97x = 8,320,204.80
  5. Step 5: Solve for x
    x = 8,320,204.80/3,407.97
  6. Step 6: Final answer
    x = 2,441.40

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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.