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Finding the Fourth Proportional to 5,626.65, 8,446.05 and 3,166.28

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Solution

The fourth proportional to 5,626.65, 8,446.05 and 3,166.28 is: 4,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.65 : 8,446.05 = 3,166.28 : x
  2. Step 2: Convert to fraction form
    5,626.65/8,446.05 = 3,166.28/x
  3. Step 3: Cross multiply
    5,626.65x = 8,446.05 × 3,166.28
  4. Step 4: Simplify right side
    5,626.65x = 26,742,516.96
  5. Step 5: Solve for x
    x = 26,742,516.96/5,626.65
  6. Step 6: Final answer
    x = 4,752.83

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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.