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Finding the Fourth Proportional to 5,631.64, 8,435.93 and 3,161.27

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Solution

The fourth proportional to 5,631.64, 8,435.93 and 3,161.27 is: 4,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.64 : 8,435.93 = 3,161.27 : x
  2. Step 2: Convert to fraction form
    5,631.64/8,435.93 = 3,161.27/x
  3. Step 3: Cross multiply
    5,631.64x = 8,435.93 × 3,161.27
  4. Step 4: Simplify right side
    5,631.64x = 26,668,257.71
  5. Step 5: Solve for x
    x = 26,668,257.71/5,631.64
  6. Step 6: Final answer
    x = 4,735.44

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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.