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Finding the Fourth Proportional to 3,992.64, 5,957.30 and 3,577.11

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Solution

The fourth proportional to 3,992.64, 5,957.30 and 3,577.11 is: 5,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.64 : 5,957.30 = 3,577.11 : x
  2. Step 2: Convert to fraction form
    3,992.64/5,957.30 = 3,577.11/x
  3. Step 3: Cross multiply
    3,992.64x = 5,957.30 × 3,577.11
  4. Step 4: Simplify right side
    3,992.64x = 21,309,917.39
  5. Step 5: Solve for x
    x = 21,309,917.39/3,992.64
  6. Step 6: Final answer
    x = 5,337.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.