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Finding the Fourth Proportional to 3,806.91, 5,710.56 and 2,166.66

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Solution

The fourth proportional to 3,806.91, 5,710.56 and 2,166.66 is: 3,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.91 : 5,710.56 = 2,166.66 : x
  2. Step 2: Convert to fraction form
    3,806.91/5,710.56 = 2,166.66/x
  3. Step 3: Cross multiply
    3,806.91x = 5,710.56 × 2,166.66
  4. Step 4: Simplify right side
    3,806.91x = 12,372,841.93
  5. Step 5: Solve for x
    x = 12,372,841.93/3,806.91
  6. Step 6: Final answer
    x = 3,250.10

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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.