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Finding the Fourth Proportional to 5,407.80, 7,462.86 and 3,171.29

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Solution

The fourth proportional to 5,407.80, 7,462.86 and 3,171.29 is: 4,376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.80 : 7,462.86 = 3,171.29 : x
  2. Step 2: Convert to fraction form
    5,407.80/7,462.86 = 3,171.29/x
  3. Step 3: Cross multiply
    5,407.80x = 7,462.86 × 3,171.29
  4. Step 4: Simplify right side
    5,407.80x = 23,666,855.98
  5. Step 5: Solve for x
    x = 23,666,855.98/5,407.80
  6. Step 6: Final answer
    x = 4,376.43

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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.