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Finding the Fourth Proportional to 5,712.64, 8,571.20 and 1,817.60

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Solution

The fourth proportional to 5,712.64, 8,571.20 and 1,817.60 is: 2,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.64 : 8,571.20 = 1,817.60 : x
  2. Step 2: Convert to fraction form
    5,712.64/8,571.20 = 1,817.60/x
  3. Step 3: Cross multiply
    5,712.64x = 8,571.20 × 1,817.60
  4. Step 4: Simplify right side
    5,712.64x = 15,579,013.12
  5. Step 5: Solve for x
    x = 15,579,013.12/5,712.64
  6. Step 6: Final answer
    x = 2,727.11

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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.