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Finding the Fourth Proportional to 4,229.75, 5,833.49 and 3,170.00

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Solution

The fourth proportional to 4,229.75, 5,833.49 and 3,170.00 is: 4,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.75 : 5,833.49 = 3,170.00 : x
  2. Step 2: Convert to fraction form
    4,229.75/5,833.49 = 3,170.00/x
  3. Step 3: Cross multiply
    4,229.75x = 5,833.49 × 3,170.00
  4. Step 4: Simplify right side
    4,229.75x = 18,492,162.03
  5. Step 5: Solve for x
    x = 18,492,162.03/4,229.75
  6. Step 6: Final answer
    x = 4,371.93

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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.