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Finding the Fourth Proportional to 3,830.42, 5,740.07 and 2,183.49

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Solution

The fourth proportional to 3,830.42, 5,740.07 and 2,183.49 is: 3,272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.42 : 5,740.07 = 2,183.49 : x
  2. Step 2: Convert to fraction form
    3,830.42/5,740.07 = 2,183.49/x
  3. Step 3: Cross multiply
    3,830.42x = 5,740.07 × 2,183.49
  4. Step 4: Simplify right side
    3,830.42x = 12,533,374.53
  5. Step 5: Solve for x
    x = 12,533,374.53/3,830.42
  6. Step 6: Final answer
    x = 3,272.06

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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.