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Finding the Fourth Proportional to 3,912.61, 5,398.05 and 2,318.93

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Solution

The fourth proportional to 3,912.61, 5,398.05 and 2,318.93 is: 3,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.61 : 5,398.05 = 2,318.93 : x
  2. Step 2: Convert to fraction form
    3,912.61/5,398.05 = 2,318.93/x
  3. Step 3: Cross multiply
    3,912.61x = 5,398.05 × 2,318.93
  4. Step 4: Simplify right side
    3,912.61x = 12,517,722.28
  5. Step 5: Solve for x
    x = 12,517,722.28/3,912.61
  6. Step 6: Final answer
    x = 3,199.33

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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.