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Finding the Fourth Proportional to 3,657.70, 5,489.13 and 1,466.92

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Solution

The fourth proportional to 3,657.70, 5,489.13 and 1,466.92 is: 2,201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.70 : 5,489.13 = 1,466.92 : x
  2. Step 2: Convert to fraction form
    3,657.70/5,489.13 = 1,466.92/x
  3. Step 3: Cross multiply
    3,657.70x = 5,489.13 × 1,466.92
  4. Step 4: Simplify right side
    3,657.70x = 8,052,114.58
  5. Step 5: Solve for x
    x = 8,052,114.58/3,657.70
  6. Step 6: Final answer
    x = 2,201.41

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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.