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Finding the Fourth Proportional to 5,993.34, 8,270.94 and 3,341

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Solution

The fourth proportional to 5,993.34, 8,270.94 and 3,341 is: 4,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.34 : 8,270.94 = 3,341 : x
  2. Step 2: Convert to fraction form
    5,993.34/8,270.94 = 3,341/x
  3. Step 3: Cross multiply
    5,993.34x = 8,270.94 × 3,341
  4. Step 4: Simplify right side
    5,993.34x = 27,633,210.54
  5. Step 5: Solve for x
    x = 27,633,210.54/5,993.34
  6. Step 6: Final answer
    x = 4,610.65

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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.