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Finding the Fourth Proportional to 5,406.27, 7,457.09 and 3,727.74

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Solution

The fourth proportional to 5,406.27, 7,457.09 and 3,727.74 is: 5,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.27 : 7,457.09 = 3,727.74 : x
  2. Step 2: Convert to fraction form
    5,406.27/7,457.09 = 3,727.74/x
  3. Step 3: Cross multiply
    5,406.27x = 7,457.09 × 3,727.74
  4. Step 4: Simplify right side
    5,406.27x = 27,798,092.68
  5. Step 5: Solve for x
    x = 27,798,092.68/5,406.27
  6. Step 6: Final answer
    x = 5,141.82

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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.