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Finding the Fourth Proportional to 5,405.82, 7,458.84 and 3,166.56

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Solution

The fourth proportional to 5,405.82, 7,458.84 and 3,166.56 is: 4,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.82 : 7,458.84 = 3,166.56 : x
  2. Step 2: Convert to fraction form
    5,405.82/7,458.84 = 3,166.56/x
  3. Step 3: Cross multiply
    5,405.82x = 7,458.84 × 3,166.56
  4. Step 4: Simplify right side
    5,405.82x = 23,618,864.39
  5. Step 5: Solve for x
    x = 23,618,864.39/5,405.82
  6. Step 6: Final answer
    x = 4,369.15

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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.