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Finding the Fourth Proportional to 5,494.20, 8,234.90 and 2,534.46

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Solution

The fourth proportional to 5,494.20, 8,234.90 and 2,534.46 is: 3,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.20 : 8,234.90 = 2,534.46 : x
  2. Step 2: Convert to fraction form
    5,494.20/8,234.90 = 2,534.46/x
  3. Step 3: Cross multiply
    5,494.20x = 8,234.90 × 2,534.46
  4. Step 4: Simplify right side
    5,494.20x = 20,871,024.65
  5. Step 5: Solve for x
    x = 20,871,024.65/5,494.20
  6. Step 6: Final answer
    x = 3,798.74

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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.