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Finding the Fourth Proportional to 5,827.83, 8,732.02 and 4,093.35

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Solution

The fourth proportional to 5,827.83, 8,732.02 and 4,093.35 is: 6,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.83 : 8,732.02 = 4,093.35 : x
  2. Step 2: Convert to fraction form
    5,827.83/8,732.02 = 4,093.35/x
  3. Step 3: Cross multiply
    5,827.83x = 8,732.02 × 4,093.35
  4. Step 4: Simplify right side
    5,827.83x = 35,743,149.94
  5. Step 5: Solve for x
    x = 35,743,149.94/5,827.83
  6. Step 6: Final answer
    x = 6,133.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.