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Finding the Fourth Proportional to 3,655.40, 5,044.46 and 1,976.81

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Solution

The fourth proportional to 3,655.40, 5,044.46 and 1,976.81 is: 2,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.40 : 5,044.46 = 1,976.81 : x
  2. Step 2: Convert to fraction form
    3,655.40/5,044.46 = 1,976.81/x
  3. Step 3: Cross multiply
    3,655.40x = 5,044.46 × 1,976.81
  4. Step 4: Simplify right side
    3,655.40x = 9,971,906.65
  5. Step 5: Solve for x
    x = 9,971,906.65/3,655.40
  6. Step 6: Final answer
    x = 2,727.99

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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.