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Finding the Fourth Proportional to 3,669.50, 5,491.46 and 3,003.68

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Solution

The fourth proportional to 3,669.50, 5,491.46 and 3,003.68 is: 4,495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.50 : 5,491.46 = 3,003.68 : x
  2. Step 2: Convert to fraction form
    3,669.50/5,491.46 = 3,003.68/x
  3. Step 3: Cross multiply
    3,669.50x = 5,491.46 × 3,003.68
  4. Step 4: Simplify right side
    3,669.50x = 16,494,588.57
  5. Step 5: Solve for x
    x = 16,494,588.57/3,669.50
  6. Step 6: Final answer
    x = 4,495.05

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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.