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Finding the Fourth Proportional to 3,964.96, 5,466.31 and 3,403

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Solution

The fourth proportional to 3,964.96, 5,466.31 and 3,403 is: 4,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.96 : 5,466.31 = 3,403 : x
  2. Step 2: Convert to fraction form
    3,964.96/5,466.31 = 3,403/x
  3. Step 3: Cross multiply
    3,964.96x = 5,466.31 × 3,403
  4. Step 4: Simplify right side
    3,964.96x = 18,601,852.93
  5. Step 5: Solve for x
    x = 18,601,852.93/3,964.96
  6. Step 6: Final answer
    x = 4,691.56

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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.