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Finding the Fourth Proportional to 5,834.66, 8,051.67 and 3,182.12

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Solution

The fourth proportional to 5,834.66, 8,051.67 and 3,182.12 is: 4,391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.66 : 8,051.67 = 3,182.12 : x
  2. Step 2: Convert to fraction form
    5,834.66/8,051.67 = 3,182.12/x
  3. Step 3: Cross multiply
    5,834.66x = 8,051.67 × 3,182.12
  4. Step 4: Simplify right side
    5,834.66x = 25,621,339.88
  5. Step 5: Solve for x
    x = 25,621,339.88/5,834.66
  6. Step 6: Final answer
    x = 4,391.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.