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Finding the Fourth Proportional to 4,183.72, 5,770.98 and 3,069.16

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Solution

The fourth proportional to 4,183.72, 5,770.98 and 3,069.16 is: 4,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.72 : 5,770.98 = 3,069.16 : x
  2. Step 2: Convert to fraction form
    4,183.72/5,770.98 = 3,069.16/x
  3. Step 3: Cross multiply
    4,183.72x = 5,770.98 × 3,069.16
  4. Step 4: Simplify right side
    4,183.72x = 17,712,060.98
  5. Step 5: Solve for x
    x = 17,712,060.98/4,183.72
  6. Step 6: Final answer
    x = 4,233.57

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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.