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Finding the Fourth Proportional to 3,605.60, 5,414.80 and 2,632.80

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Solution

The fourth proportional to 3,605.60, 5,414.80 and 2,632.80 is: 3,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.60 : 5,414.80 = 2,632.80 : x
  2. Step 2: Convert to fraction form
    3,605.60/5,414.80 = 2,632.80/x
  3. Step 3: Cross multiply
    3,605.60x = 5,414.80 × 2,632.80
  4. Step 4: Simplify right side
    3,605.60x = 14,256,085.44
  5. Step 5: Solve for x
    x = 14,256,085.44/3,605.60
  6. Step 6: Final answer
    x = 3,953.87

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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.