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Finding the Fourth Proportional to 3,954.64, 5,457.63 and 2,382.97

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Solution

The fourth proportional to 3,954.64, 5,457.63 and 2,382.97 is: 3,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.64 : 5,457.63 = 2,382.97 : x
  2. Step 2: Convert to fraction form
    3,954.64/5,457.63 = 2,382.97/x
  3. Step 3: Cross multiply
    3,954.64x = 5,457.63 × 2,382.97
  4. Step 4: Simplify right side
    3,954.64x = 13,005,368.56
  5. Step 5: Solve for x
    x = 13,005,368.56/3,954.64
  6. Step 6: Final answer
    x = 3,288.64

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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.