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Finding the Fourth Proportional to 5,852.24, 8,083.02 and 3,960.54

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Solution

The fourth proportional to 5,852.24, 8,083.02 and 3,960.54 is: 5,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.24 : 8,083.02 = 3,960.54 : x
  2. Step 2: Convert to fraction form
    5,852.24/8,083.02 = 3,960.54/x
  3. Step 3: Cross multiply
    5,852.24x = 8,083.02 × 3,960.54
  4. Step 4: Simplify right side
    5,852.24x = 32,013,144.24
  5. Step 5: Solve for x
    x = 32,013,144.24/5,852.24
  6. Step 6: Final answer
    x = 5,470.24

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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.