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Finding the Fourth Proportional to 5,622, 7,751.15 and 4,609.98

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Solution

The fourth proportional to 5,622, 7,751.15 and 4,609.98 is: 6,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622 : 7,751.15 = 4,609.98 : x
  2. Step 2: Convert to fraction form
    5,622/7,751.15 = 4,609.98/x
  3. Step 3: Cross multiply
    5,622x = 7,751.15 × 4,609.98
  4. Step 4: Simplify right side
    5,622x = 35,732,640.71
  5. Step 5: Solve for x
    x = 35,732,640.71/5,622
  6. Step 6: Final answer
    x = 6,355.86

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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.