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Finding the Fourth Proportional to 5,843.55, 8,769.98 and 3,071.85

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Solution

The fourth proportional to 5,843.55, 8,769.98 and 3,071.85 is: 4,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.55 : 8,769.98 = 3,071.85 : x
  2. Step 2: Convert to fraction form
    5,843.55/8,769.98 = 3,071.85/x
  3. Step 3: Cross multiply
    5,843.55x = 8,769.98 × 3,071.85
  4. Step 4: Simplify right side
    5,843.55x = 26,940,070.74
  5. Step 5: Solve for x
    x = 26,940,070.74/5,843.55
  6. Step 6: Final answer
    x = 4,610.22

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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.