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Finding the Fourth Proportional to 3,646.57, 5,469.86 and 2,013.50

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Solution

The fourth proportional to 3,646.57, 5,469.86 and 2,013.50 is: 3,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.57 : 5,469.86 = 2,013.50 : x
  2. Step 2: Convert to fraction form
    3,646.57/5,469.86 = 2,013.50/x
  3. Step 3: Cross multiply
    3,646.57x = 5,469.86 × 2,013.50
  4. Step 4: Simplify right side
    3,646.57x = 11,013,553.04
  5. Step 5: Solve for x
    x = 11,013,553.04/3,646.57
  6. Step 6: Final answer
    x = 3,020.25

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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.