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Finding the Fourth Proportional to 5,771.96, 8,659.14 and 1,876.04

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Solution

The fourth proportional to 5,771.96, 8,659.14 and 1,876.04 is: 2,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.96 : 8,659.14 = 1,876.04 : x
  2. Step 2: Convert to fraction form
    5,771.96/8,659.14 = 1,876.04/x
  3. Step 3: Cross multiply
    5,771.96x = 8,659.14 × 1,876.04
  4. Step 4: Simplify right side
    5,771.96x = 16,244,893.01
  5. Step 5: Solve for x
    x = 16,244,893.01/5,771.96
  6. Step 6: Final answer
    x = 2,814.45

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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.