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Finding the Fourth Proportional to 5,834.86, 8,052.30 and 3,182.14

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Solution

The fourth proportional to 5,834.86, 8,052.30 and 3,182.14 is: 4,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.86 : 8,052.30 = 3,182.14 : x
  2. Step 2: Convert to fraction form
    5,834.86/8,052.30 = 3,182.14/x
  3. Step 3: Cross multiply
    5,834.86x = 8,052.30 × 3,182.14
  4. Step 4: Simplify right side
    5,834.86x = 25,623,545.92
  5. Step 5: Solve for x
    x = 25,623,545.92/5,834.86
  6. Step 6: Final answer
    x = 4,391.46

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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.