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Finding the Fourth Proportional to 3,899.96, 5,382.42 and 2,328.02

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Solution

The fourth proportional to 3,899.96, 5,382.42 and 2,328.02 is: 3,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.96 : 5,382.42 = 2,328.02 : x
  2. Step 2: Convert to fraction form
    3,899.96/5,382.42 = 2,328.02/x
  3. Step 3: Cross multiply
    3,899.96x = 5,382.42 × 2,328.02
  4. Step 4: Simplify right side
    3,899.96x = 12,530,381.41
  5. Step 5: Solve for x
    x = 12,530,381.41/3,899.96
  6. Step 6: Final answer
    x = 3,212.95

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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.