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Finding the Fourth Proportional to 5,102.72, 7,654.07 and 3,370.94

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Solution

The fourth proportional to 5,102.72, 7,654.07 and 3,370.94 is: 5,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.72 : 7,654.07 = 3,370.94 : x
  2. Step 2: Convert to fraction form
    5,102.72/7,654.07 = 3,370.94/x
  3. Step 3: Cross multiply
    5,102.72x = 7,654.07 × 3,370.94
  4. Step 4: Simplify right side
    5,102.72x = 25,801,380.88
  5. Step 5: Solve for x
    x = 25,801,380.88/5,102.72
  6. Step 6: Final answer
    x = 5,056.40

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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.