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Finding the Fourth Proportional to 5,468.28, 8,200.32 and 1,956.96

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Solution

The fourth proportional to 5,468.28, 8,200.32 and 1,956.96 is: 2,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.28 : 8,200.32 = 1,956.96 : x
  2. Step 2: Convert to fraction form
    5,468.28/8,200.32 = 1,956.96/x
  3. Step 3: Cross multiply
    5,468.28x = 8,200.32 × 1,956.96
  4. Step 4: Simplify right side
    5,468.28x = 16,047,698.23
  5. Step 5: Solve for x
    x = 16,047,698.23/5,468.28
  6. Step 6: Final answer
    x = 2,934.69

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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.