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Finding the Fourth Proportional to 5,926.56, 8,178.42 and 3,568.20

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Solution

The fourth proportional to 5,926.56, 8,178.42 and 3,568.20 is: 4,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.56 : 8,178.42 = 3,568.20 : x
  2. Step 2: Convert to fraction form
    5,926.56/8,178.42 = 3,568.20/x
  3. Step 3: Cross multiply
    5,926.56x = 8,178.42 × 3,568.20
  4. Step 4: Simplify right side
    5,926.56x = 29,182,238.24
  5. Step 5: Solve for x
    x = 29,182,238.24/5,926.56
  6. Step 6: Final answer
    x = 4,923.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.