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Finding the Fourth Proportional to 3,659.24, 5,049.72 and 1,980.65

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Solution

The fourth proportional to 3,659.24, 5,049.72 and 1,980.65 is: 2,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.24 : 5,049.72 = 1,980.65 : x
  2. Step 2: Convert to fraction form
    3,659.24/5,049.72 = 1,980.65/x
  3. Step 3: Cross multiply
    3,659.24x = 5,049.72 × 1,980.65
  4. Step 4: Simplify right side
    3,659.24x = 10,001,740.54
  5. Step 5: Solve for x
    x = 10,001,740.54/3,659.24
  6. Step 6: Final answer
    x = 2,733.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.