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Finding the Fourth Proportional to 3,507.73, 5,262.13 and 1,659.85

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Solution

The fourth proportional to 3,507.73, 5,262.13 and 1,659.85 is: 2,490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.73 : 5,262.13 = 1,659.85 : x
  2. Step 2: Convert to fraction form
    3,507.73/5,262.13 = 1,659.85/x
  3. Step 3: Cross multiply
    3,507.73x = 5,262.13 × 1,659.85
  4. Step 4: Simplify right side
    3,507.73x = 8,734,346.48
  5. Step 5: Solve for x
    x = 8,734,346.48/3,507.73
  6. Step 6: Final answer
    x = 2,490.03

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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.