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Finding the Fourth Proportional to 3,798.23, 5,700.49 and 1,608.46

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Solution

The fourth proportional to 3,798.23, 5,700.49 and 1,608.46 is: 2,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.23 : 5,700.49 = 1,608.46 : x
  2. Step 2: Convert to fraction form
    3,798.23/5,700.49 = 1,608.46/x
  3. Step 3: Cross multiply
    3,798.23x = 5,700.49 × 1,608.46
  4. Step 4: Simplify right side
    3,798.23x = 9,168,991.87
  5. Step 5: Solve for x
    x = 9,168,991.87/3,798.23
  6. Step 6: Final answer
    x = 2,414.02

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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.