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Finding the Fourth Proportional to 3,949.76, 5,451.12 and 2,623

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Solution

The fourth proportional to 3,949.76, 5,451.12 and 2,623 is: 3,620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.76 : 5,451.12 = 2,623 : x
  2. Step 2: Convert to fraction form
    3,949.76/5,451.12 = 2,623/x
  3. Step 3: Cross multiply
    3,949.76x = 5,451.12 × 2,623
  4. Step 4: Simplify right side
    3,949.76x = 14,298,287.76
  5. Step 5: Solve for x
    x = 14,298,287.76/3,949.76
  6. Step 6: Final answer
    x = 3,620.04

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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.