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Finding the Fourth Proportional to 5,834.61, 8,051.81 and 3,182.04

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Solution

The fourth proportional to 5,834.61, 8,051.81 and 3,182.04 is: 4,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.61 : 8,051.81 = 3,182.04 : x
  2. Step 2: Convert to fraction form
    5,834.61/8,051.81 = 3,182.04/x
  3. Step 3: Cross multiply
    5,834.61x = 8,051.81 × 3,182.04
  4. Step 4: Simplify right side
    5,834.61x = 25,621,165.58
  5. Step 5: Solve for x
    x = 25,621,165.58/5,834.61
  6. Step 6: Final answer
    x = 4,391.24

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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.