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Finding the Fourth Proportional to 3,723.36, 5,133.96 and 3,397.92

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Solution

The fourth proportional to 3,723.36, 5,133.96 and 3,397.92 is: 4,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.36 : 5,133.96 = 3,397.92 : x
  2. Step 2: Convert to fraction form
    3,723.36/5,133.96 = 3,397.92/x
  3. Step 3: Cross multiply
    3,723.36x = 5,133.96 × 3,397.92
  4. Step 4: Simplify right side
    3,723.36x = 17,444,785.36
  5. Step 5: Solve for x
    x = 17,444,785.36/3,723.36
  6. Step 6: Final answer
    x = 4,685.23

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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.