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Finding the Fourth Proportional to 5,740.72, 8,611.20 and 3,138.16

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Solution

The fourth proportional to 5,740.72, 8,611.20 and 3,138.16 is: 4,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.72 : 8,611.20 = 3,138.16 : x
  2. Step 2: Convert to fraction form
    5,740.72/8,611.20 = 3,138.16/x
  3. Step 3: Cross multiply
    5,740.72x = 8,611.20 × 3,138.16
  4. Step 4: Simplify right side
    5,740.72x = 27,023,323.39
  5. Step 5: Solve for x
    x = 27,023,323.39/5,740.72
  6. Step 6: Final answer
    x = 4,707.31

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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.