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Finding the Fourth Proportional to 5,462.98, 8,194.74 and 3,285.70

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Solution

The fourth proportional to 5,462.98, 8,194.74 and 3,285.70 is: 4,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.98 : 8,194.74 = 3,285.70 : x
  2. Step 2: Convert to fraction form
    5,462.98/8,194.74 = 3,285.70/x
  3. Step 3: Cross multiply
    5,462.98x = 8,194.74 × 3,285.70
  4. Step 4: Simplify right side
    5,462.98x = 26,925,457.22
  5. Step 5: Solve for x
    x = 26,925,457.22/5,462.98
  6. Step 6: Final answer
    x = 4,928.71

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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.