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Finding the Fourth Proportional to 5,405.81, 7,457.42 and 3,166.29

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Solution

The fourth proportional to 5,405.81, 7,457.42 and 3,166.29 is: 4,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.81 : 7,457.42 = 3,166.29 : x
  2. Step 2: Convert to fraction form
    5,405.81/7,457.42 = 3,166.29/x
  3. Step 3: Cross multiply
    5,405.81x = 7,457.42 × 3,166.29
  4. Step 4: Simplify right side
    5,405.81x = 23,612,362.29
  5. Step 5: Solve for x
    x = 23,612,362.29/5,405.81
  6. Step 6: Final answer
    x = 4,367.96

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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.