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Finding the Fourth Proportional to 3,616.50, 5,416.04 and 3,093.50

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Solution

The fourth proportional to 3,616.50, 5,416.04 and 3,093.50 is: 4,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.50 : 5,416.04 = 3,093.50 : x
  2. Step 2: Convert to fraction form
    3,616.50/5,416.04 = 3,093.50/x
  3. Step 3: Cross multiply
    3,616.50x = 5,416.04 × 3,093.50
  4. Step 4: Simplify right side
    3,616.50x = 16,754,519.74
  5. Step 5: Solve for x
    x = 16,754,519.74/3,616.50
  6. Step 6: Final answer
    x = 4,632.80

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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.