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Finding the Fourth Proportional to 5,489.98, 8,236.34 and 1,792.42

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Solution

The fourth proportional to 5,489.98, 8,236.34 and 1,792.42 is: 2,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.98 : 8,236.34 = 1,792.42 : x
  2. Step 2: Convert to fraction form
    5,489.98/8,236.34 = 1,792.42/x
  3. Step 3: Cross multiply
    5,489.98x = 8,236.34 × 1,792.42
  4. Step 4: Simplify right side
    5,489.98x = 14,762,980.54
  5. Step 5: Solve for x
    x = 14,762,980.54/5,489.98
  6. Step 6: Final answer
    x = 2,689.08

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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.