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Finding the Fourth Proportional to 3,806.70, 5,708.96 and 1,466.52

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Solution

The fourth proportional to 3,806.70, 5,708.96 and 1,466.52 is: 2,199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.70 : 5,708.96 = 1,466.52 : x
  2. Step 2: Convert to fraction form
    3,806.70/5,708.96 = 1,466.52/x
  3. Step 3: Cross multiply
    3,806.70x = 5,708.96 × 1,466.52
  4. Step 4: Simplify right side
    3,806.70x = 8,372,296.69
  5. Step 5: Solve for x
    x = 8,372,296.69/3,806.70
  6. Step 6: Final answer
    x = 2,199.36

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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.