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Finding the Fourth Proportional to 3,771.41, 5,654.62 and 1,688.56

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Solution

The fourth proportional to 3,771.41, 5,654.62 and 1,688.56 is: 2,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.41 : 5,654.62 = 1,688.56 : x
  2. Step 2: Convert to fraction form
    3,771.41/5,654.62 = 1,688.56/x
  3. Step 3: Cross multiply
    3,771.41x = 5,654.62 × 1,688.56
  4. Step 4: Simplify right side
    3,771.41x = 9,548,146.79
  5. Step 5: Solve for x
    x = 9,548,146.79/3,771.41
  6. Step 6: Final answer
    x = 2,531.72

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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.