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Finding the Fourth Proportional to 3,771.22, 5,654.10 and 1,580.59

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Solution

The fourth proportional to 3,771.22, 5,654.10 and 1,580.59 is: 2,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.22 : 5,654.10 = 1,580.59 : x
  2. Step 2: Convert to fraction form
    3,771.22/5,654.10 = 1,580.59/x
  3. Step 3: Cross multiply
    3,771.22x = 5,654.10 × 1,580.59
  4. Step 4: Simplify right side
    3,771.22x = 8,936,813.92
  5. Step 5: Solve for x
    x = 8,936,813.92/3,771.22
  6. Step 6: Final answer
    x = 2,369.74

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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.