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Finding the Fourth Proportional to 4,234.70, 6,352.05 and 3,262.70

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Solution

The fourth proportional to 4,234.70, 6,352.05 and 3,262.70 is: 4,894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.70 : 6,352.05 = 3,262.70 : x
  2. Step 2: Convert to fraction form
    4,234.70/6,352.05 = 3,262.70/x
  3. Step 3: Cross multiply
    4,234.70x = 6,352.05 × 3,262.70
  4. Step 4: Simplify right side
    4,234.70x = 20,724,833.54
  5. Step 5: Solve for x
    x = 20,724,833.54/4,234.70
  6. Step 6: Final answer
    x = 4,894.05

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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.