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Finding the Fourth Proportional to 5,835.16, 8,052.24 and 3,182.41

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Solution

The fourth proportional to 5,835.16, 8,052.24 and 3,182.41 is: 4,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.16 : 8,052.24 = 3,182.41 : x
  2. Step 2: Convert to fraction form
    5,835.16/8,052.24 = 3,182.41/x
  3. Step 3: Cross multiply
    5,835.16x = 8,052.24 × 3,182.41
  4. Step 4: Simplify right side
    5,835.16x = 25,625,529.10
  5. Step 5: Solve for x
    x = 25,625,529.10/5,835.16
  6. Step 6: Final answer
    x = 4,391.57

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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.