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Finding the Fourth Proportional to 5,751, 8,626.10 and 2,828.25

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Solution

The fourth proportional to 5,751, 8,626.10 and 2,828.25 is: 4,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751 : 8,626.10 = 2,828.25 : x
  2. Step 2: Convert to fraction form
    5,751/8,626.10 = 2,828.25/x
  3. Step 3: Cross multiply
    5,751x = 8,626.10 × 2,828.25
  4. Step 4: Simplify right side
    5,751x = 24,396,753.18
  5. Step 5: Solve for x
    x = 24,396,753.18/5,751
  6. Step 6: Final answer
    x = 4,242.18

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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.