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Finding the Fourth Proportional to 3,465.92, 5,200.50 and 2,006.30

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Solution

The fourth proportional to 3,465.92, 5,200.50 and 2,006.30 is: 3,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.92 : 5,200.50 = 2,006.30 : x
  2. Step 2: Convert to fraction form
    3,465.92/5,200.50 = 2,006.30/x
  3. Step 3: Cross multiply
    3,465.92x = 5,200.50 × 2,006.30
  4. Step 4: Simplify right side
    3,465.92x = 10,433,763.15
  5. Step 5: Solve for x
    x = 10,433,763.15/3,465.92
  6. Step 6: Final answer
    x = 3,010.39

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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.