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Finding the Fourth Proportional to 3,901.41, 5,382.05 and 2,657.25

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Solution

The fourth proportional to 3,901.41, 5,382.05 and 2,657.25 is: 3,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.41 : 5,382.05 = 2,657.25 : x
  2. Step 2: Convert to fraction form
    3,901.41/5,382.05 = 2,657.25/x
  3. Step 3: Cross multiply
    3,901.41x = 5,382.05 × 2,657.25
  4. Step 4: Simplify right side
    3,901.41x = 14,301,439.08
  5. Step 5: Solve for x
    x = 14,301,439.08/3,901.41
  6. Step 6: Final answer
    x = 3,665.71

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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.