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Finding the Fourth Proportional to 4,328.29, 5,969.98 and 4,183.62

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Solution

The fourth proportional to 4,328.29, 5,969.98 and 4,183.62 is: 5,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.29 : 5,969.98 = 4,183.62 : x
  2. Step 2: Convert to fraction form
    4,328.29/5,969.98 = 4,183.62/x
  3. Step 3: Cross multiply
    4,328.29x = 5,969.98 × 4,183.62
  4. Step 4: Simplify right side
    4,328.29x = 24,976,149.17
  5. Step 5: Solve for x
    x = 24,976,149.17/4,328.29
  6. Step 6: Final answer
    x = 5,770.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.