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Finding the Fourth Proportional to 3,771.30, 5,657.54 and 1,823.64

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Solution

The fourth proportional to 3,771.30, 5,657.54 and 1,823.64 is: 2,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.30 : 5,657.54 = 1,823.64 : x
  2. Step 2: Convert to fraction form
    3,771.30/5,657.54 = 1,823.64/x
  3. Step 3: Cross multiply
    3,771.30x = 5,657.54 × 1,823.64
  4. Step 4: Simplify right side
    3,771.30x = 10,317,316.25
  5. Step 5: Solve for x
    x = 10,317,316.25/3,771.30
  6. Step 6: Final answer
    x = 2,735.75

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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.