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Finding the Fourth Proportional to 5,805.72, 8,703 and 3,719.88

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Solution

The fourth proportional to 5,805.72, 8,703 and 3,719.88 is: 5,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.72 : 8,703 = 3,719.88 : x
  2. Step 2: Convert to fraction form
    5,805.72/8,703 = 3,719.88/x
  3. Step 3: Cross multiply
    5,805.72x = 8,703 × 3,719.88
  4. Step 4: Simplify right side
    5,805.72x = 32,374,115.64
  5. Step 5: Solve for x
    x = 32,374,115.64/5,805.72
  6. Step 6: Final answer
    x = 5,576.24

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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.