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Finding the Fourth Proportional to 3,659.09, 5,049.55 and 1,980.50

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Solution

The fourth proportional to 3,659.09, 5,049.55 and 1,980.50 is: 2,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.09 : 5,049.55 = 1,980.50 : x
  2. Step 2: Convert to fraction form
    3,659.09/5,049.55 = 1,980.50/x
  3. Step 3: Cross multiply
    3,659.09x = 5,049.55 × 1,980.50
  4. Step 4: Simplify right side
    3,659.09x = 10,000,641.45
  5. Step 5: Solve for x
    x = 10,000,641.45/3,659.09
  6. Step 6: Final answer
    x = 2,733.09

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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.