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Finding the Fourth Proportional to 5,630.16, 8,450.69 and 4,164.87

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Solution

The fourth proportional to 5,630.16, 8,450.69 and 4,164.87 is: 6,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.16 : 8,450.69 = 4,164.87 : x
  2. Step 2: Convert to fraction form
    5,630.16/8,450.69 = 4,164.87/x
  3. Step 3: Cross multiply
    5,630.16x = 8,450.69 × 4,164.87
  4. Step 4: Simplify right side
    5,630.16x = 35,196,004.44
  5. Step 5: Solve for x
    x = 35,196,004.44/5,630.16
  6. Step 6: Final answer
    x = 6,251.33

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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.