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Finding the Fourth Proportional to 3,614.68, 4,991.58 and 2,906.64

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Solution

The fourth proportional to 3,614.68, 4,991.58 and 2,906.64 is: 4,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.68 : 4,991.58 = 2,906.64 : x
  2. Step 2: Convert to fraction form
    3,614.68/4,991.58 = 2,906.64/x
  3. Step 3: Cross multiply
    3,614.68x = 4,991.58 × 2,906.64
  4. Step 4: Simplify right side
    3,614.68x = 14,508,726.09
  5. Step 5: Solve for x
    x = 14,508,726.09/3,614.68
  6. Step 6: Final answer
    x = 4,013.83

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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.