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Finding the Fourth Proportional to 5,736.77, 8,606.05 and 2,449.88

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Solution

The fourth proportional to 5,736.77, 8,606.05 and 2,449.88 is: 3,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.77 : 8,606.05 = 2,449.88 : x
  2. Step 2: Convert to fraction form
    5,736.77/8,606.05 = 2,449.88/x
  3. Step 3: Cross multiply
    5,736.77x = 8,606.05 × 2,449.88
  4. Step 4: Simplify right side
    5,736.77x = 21,083,740.62
  5. Step 5: Solve for x
    x = 21,083,740.62/5,736.77
  6. Step 6: Final answer
    x = 3,675.20

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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.