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Finding the Fourth Proportional to 5,835.24, 8,052.50 and 3,182.64

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Solution

The fourth proportional to 5,835.24, 8,052.50 and 3,182.64 is: 4,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.24 : 8,052.50 = 3,182.64 : x
  2. Step 2: Convert to fraction form
    5,835.24/8,052.50 = 3,182.64/x
  3. Step 3: Cross multiply
    5,835.24x = 8,052.50 × 3,182.64
  4. Step 4: Simplify right side
    5,835.24x = 25,628,208.60
  5. Step 5: Solve for x
    x = 25,628,208.60/5,835.24
  6. Step 6: Final answer
    x = 4,391.97

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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.