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Finding the Fourth Proportional to 5,622.92, 8,434.74 and 2,847.64

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Solution

The fourth proportional to 5,622.92, 8,434.74 and 2,847.64 is: 4,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.92 : 8,434.74 = 2,847.64 : x
  2. Step 2: Convert to fraction form
    5,622.92/8,434.74 = 2,847.64/x
  3. Step 3: Cross multiply
    5,622.92x = 8,434.74 × 2,847.64
  4. Step 4: Simplify right side
    5,622.92x = 24,019,103.01
  5. Step 5: Solve for x
    x = 24,019,103.01/5,622.92
  6. Step 6: Final answer
    x = 4,271.64

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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.