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Finding the Fourth Proportional to 5,489.17, 8,234.47 and 1,790.10

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Solution

The fourth proportional to 5,489.17, 8,234.47 and 1,790.10 is: 2,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.17 : 8,234.47 = 1,790.10 : x
  2. Step 2: Convert to fraction form
    5,489.17/8,234.47 = 1,790.10/x
  3. Step 3: Cross multiply
    5,489.17x = 8,234.47 × 1,790.10
  4. Step 4: Simplify right side
    5,489.17x = 14,740,524.75
  5. Step 5: Solve for x
    x = 14,740,524.75/5,489.17
  6. Step 6: Final answer
    x = 2,685.38

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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.