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Finding the Fourth Proportional to 5,712, 8,568 and 1,816.56

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Solution

The fourth proportional to 5,712, 8,568 and 1,816.56 is: 2,724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712 : 8,568 = 1,816.56 : x
  2. Step 2: Convert to fraction form
    5,712/8,568 = 1,816.56/x
  3. Step 3: Cross multiply
    5,712x = 8,568 × 1,816.56
  4. Step 4: Simplify right side
    5,712x = 15,564,286.08
  5. Step 5: Solve for x
    x = 15,564,286.08/5,712
  6. Step 6: Final answer
    x = 2,724.84

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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.