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Finding the Fourth Proportional to 6,532.55, 9,012.57 and 3,879.90

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Solution

The fourth proportional to 6,532.55, 9,012.57 and 3,879.90 is: 5,352.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.55 : 9,012.57 = 3,879.90 : x
  2. Step 2: Convert to fraction form
    6,532.55/9,012.57 = 3,879.90/x
  3. Step 3: Cross multiply
    6,532.55x = 9,012.57 × 3,879.90
  4. Step 4: Simplify right side
    6,532.55x = 34,967,855.79
  5. Step 5: Solve for x
    x = 34,967,855.79/6,532.55
  6. Step 6: Final answer
    x = 5,352.87

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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.