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Finding the Fourth Proportional to 5,734.81, 7,914.00 and 3,182.54

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Solution

The fourth proportional to 5,734.81, 7,914.00 and 3,182.54 is: 4,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.81 : 7,914.00 = 3,182.54 : x
  2. Step 2: Convert to fraction form
    5,734.81/7,914.00 = 3,182.54/x
  3. Step 3: Cross multiply
    5,734.81x = 7,914.00 × 3,182.54
  4. Step 4: Simplify right side
    5,734.81x = 25,186,566.08
  5. Step 5: Solve for x
    x = 25,186,566.08/5,734.81
  6. Step 6: Final answer
    x = 4,391.88

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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.