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Finding the Fourth Proportional to 5,494.16, 8,239.94 and 2,162.29

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Solution

The fourth proportional to 5,494.16, 8,239.94 and 2,162.29 is: 3,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.16 : 8,239.94 = 2,162.29 : x
  2. Step 2: Convert to fraction form
    5,494.16/8,239.94 = 2,162.29/x
  3. Step 3: Cross multiply
    5,494.16x = 8,239.94 × 2,162.29
  4. Step 4: Simplify right side
    5,494.16x = 17,817,098.66
  5. Step 5: Solve for x
    x = 17,817,098.66/5,494.16
  6. Step 6: Final answer
    x = 3,242.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.