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Finding the Fourth Proportional to 5,945.94, 8,203.29 and 3,705.99

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Solution

The fourth proportional to 5,945.94, 8,203.29 and 3,705.99 is: 5,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.94 : 8,203.29 = 3,705.99 : x
  2. Step 2: Convert to fraction form
    5,945.94/8,203.29 = 3,705.99/x
  3. Step 3: Cross multiply
    5,945.94x = 8,203.29 × 3,705.99
  4. Step 4: Simplify right side
    5,945.94x = 30,401,310.71
  5. Step 5: Solve for x
    x = 30,401,310.71/5,945.94
  6. Step 6: Final answer
    x = 5,112.95

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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.