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Finding the Fourth Proportional to 5,786.10, 8,657.21 and 3,842.10

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Solution

The fourth proportional to 5,786.10, 8,657.21 and 3,842.10 is: 5,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.10 : 8,657.21 = 3,842.10 : x
  2. Step 2: Convert to fraction form
    5,786.10/8,657.21 = 3,842.10/x
  3. Step 3: Cross multiply
    5,786.10x = 8,657.21 × 3,842.10
  4. Step 4: Simplify right side
    5,786.10x = 33,261,876.15
  5. Step 5: Solve for x
    x = 33,261,876.15/5,786.10
  6. Step 6: Final answer
    x = 5,748.58

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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.