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Finding the Fourth Proportional to 5,827.96, 8,728.02 and 3,191.51

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Solution

The fourth proportional to 5,827.96, 8,728.02 and 3,191.51 is: 4,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.96 : 8,728.02 = 3,191.51 : x
  2. Step 2: Convert to fraction form
    5,827.96/8,728.02 = 3,191.51/x
  3. Step 3: Cross multiply
    5,827.96x = 8,728.02 × 3,191.51
  4. Step 4: Simplify right side
    5,827.96x = 27,855,584.93
  5. Step 5: Solve for x
    x = 27,855,584.93/5,827.96
  6. Step 6: Final answer
    x = 4,779.64

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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.