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Finding the Fourth Proportional to 5,993.05, 8,270.40 and 3,340.40

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Solution

The fourth proportional to 5,993.05, 8,270.40 and 3,340.40 is: 4,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.05 : 8,270.40 = 3,340.40 : x
  2. Step 2: Convert to fraction form
    5,993.05/8,270.40 = 3,340.40/x
  3. Step 3: Cross multiply
    5,993.05x = 8,270.40 × 3,340.40
  4. Step 4: Simplify right side
    5,993.05x = 27,626,402.81
  5. Step 5: Solve for x
    x = 27,626,402.81/5,993.05
  6. Step 6: Final answer
    x = 4,609.74

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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.