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Finding the Fourth Proportional to 5,834.62, 8,051.70 and 3,182.01

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Solution

The fourth proportional to 5,834.62, 8,051.70 and 3,182.01 is: 4,391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.62 : 8,051.70 = 3,182.01 : x
  2. Step 2: Convert to fraction form
    5,834.62/8,051.70 = 3,182.01/x
  3. Step 3: Cross multiply
    5,834.62x = 8,051.70 × 3,182.01
  4. Step 4: Simplify right side
    5,834.62x = 25,620,589.92
  5. Step 5: Solve for x
    x = 25,620,589.92/5,834.62
  6. Step 6: Final answer
    x = 4,391.13

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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.