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Finding the Fourth Proportional to 3,674.57, 5,496.80 and 3,059.10

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Solution

The fourth proportional to 3,674.57, 5,496.80 and 3,059.10 is: 4,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.57 : 5,496.80 = 3,059.10 : x
  2. Step 2: Convert to fraction form
    3,674.57/5,496.80 = 3,059.10/x
  3. Step 3: Cross multiply
    3,674.57x = 5,496.80 × 3,059.10
  4. Step 4: Simplify right side
    3,674.57x = 16,815,245.58
  5. Step 5: Solve for x
    x = 16,815,245.58/3,674.57
  6. Step 6: Final answer
    x = 4,576.12

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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.