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Finding the Fourth Proportional to 3,659.17, 5,049.63 and 1,980.58

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Solution

The fourth proportional to 3,659.17, 5,049.63 and 1,980.58 is: 2,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.17 : 5,049.63 = 1,980.58 : x
  2. Step 2: Convert to fraction form
    3,659.17/5,049.63 = 1,980.58/x
  3. Step 3: Cross multiply
    3,659.17x = 5,049.63 × 1,980.58
  4. Step 4: Simplify right side
    3,659.17x = 10,001,170.94
  5. Step 5: Solve for x
    x = 10,001,170.94/3,659.17
  6. Step 6: Final answer
    x = 2,733.18

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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.