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Finding the Fourth Proportional to 5,626.88, 7,765 and 3,269.04

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Solution

The fourth proportional to 5,626.88, 7,765 and 3,269.04 is: 4,511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.88 : 7,765 = 3,269.04 : x
  2. Step 2: Convert to fraction form
    5,626.88/7,765 = 3,269.04/x
  3. Step 3: Cross multiply
    5,626.88x = 7,765 × 3,269.04
  4. Step 4: Simplify right side
    5,626.88x = 25,384,095.60
  5. Step 5: Solve for x
    x = 25,384,095.60/5,626.88
  6. Step 6: Final answer
    x = 4,511.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.