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Finding the Fourth Proportional to 3,705.69, 5,536.78 and 3,576.49

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Solution

The fourth proportional to 3,705.69, 5,536.78 and 3,576.49 is: 5,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.69 : 5,536.78 = 3,576.49 : x
  2. Step 2: Convert to fraction form
    3,705.69/5,536.78 = 3,576.49/x
  3. Step 3: Cross multiply
    3,705.69x = 5,536.78 × 3,576.49
  4. Step 4: Simplify right side
    3,705.69x = 19,802,238.30
  5. Step 5: Solve for x
    x = 19,802,238.30/3,705.69
  6. Step 6: Final answer
    x = 5,343.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.