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Finding the Fourth Proportional to 5,653.50, 8,480.27 and 1,757.91

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Solution

The fourth proportional to 5,653.50, 8,480.27 and 1,757.91 is: 2,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.50 : 8,480.27 = 1,757.91 : x
  2. Step 2: Convert to fraction form
    5,653.50/8,480.27 = 1,757.91/x
  3. Step 3: Cross multiply
    5,653.50x = 8,480.27 × 1,757.91
  4. Step 4: Simplify right side
    5,653.50x = 14,907,542.65
  5. Step 5: Solve for x
    x = 14,907,542.65/5,653.50
  6. Step 6: Final answer
    x = 2,636.87

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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.