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Finding the Fourth Proportional to 5,609.25, 8,409.90 and 2,487.54

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Solution

The fourth proportional to 5,609.25, 8,409.90 and 2,487.54 is: 3,729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.25 : 8,409.90 = 2,487.54 : x
  2. Step 2: Convert to fraction form
    5,609.25/8,409.90 = 2,487.54/x
  3. Step 3: Cross multiply
    5,609.25x = 8,409.90 × 2,487.54
  4. Step 4: Simplify right side
    5,609.25x = 20,919,962.65
  5. Step 5: Solve for x
    x = 20,919,962.65/5,609.25
  6. Step 6: Final answer
    x = 3,729.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.