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Finding the Fourth Proportional to 5,720.34, 8,571.69 and 3,864.18

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Solution

The fourth proportional to 5,720.34, 8,571.69 and 3,864.18 is: 5,790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.34 : 8,571.69 = 3,864.18 : x
  2. Step 2: Convert to fraction form
    5,720.34/8,571.69 = 3,864.18/x
  3. Step 3: Cross multiply
    5,720.34x = 8,571.69 × 3,864.18
  4. Step 4: Simplify right side
    5,720.34x = 33,122,553.06
  5. Step 5: Solve for x
    x = 33,122,553.06/5,720.34
  6. Step 6: Final answer
    x = 5,790.31

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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.