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Finding the Fourth Proportional to 3,470.73, 5,206.01 and 1,620.83

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Solution

The fourth proportional to 3,470.73, 5,206.01 and 1,620.83 is: 2,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.73 : 5,206.01 = 1,620.83 : x
  2. Step 2: Convert to fraction form
    3,470.73/5,206.01 = 1,620.83/x
  3. Step 3: Cross multiply
    3,470.73x = 5,206.01 × 1,620.83
  4. Step 4: Simplify right side
    3,470.73x = 8,438,023.05
  5. Step 5: Solve for x
    x = 8,438,023.05/3,470.73
  6. Step 6: Final answer
    x = 2,431.20

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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.