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Finding the Fourth Proportional to 5,810.22, 8,711.48 and 2,112

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Solution

The fourth proportional to 5,810.22, 8,711.48 and 2,112 is: 3,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.22 : 8,711.48 = 2,112 : x
  2. Step 2: Convert to fraction form
    5,810.22/8,711.48 = 2,112/x
  3. Step 3: Cross multiply
    5,810.22x = 8,711.48 × 2,112
  4. Step 4: Simplify right side
    5,810.22x = 18,398,635.20
  5. Step 5: Solve for x
    x = 18,398,635.20/5,810.22
  6. Step 6: Final answer
    x = 3,166.60

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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.