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Finding the Fourth Proportional to 3,672.45, 5,498.96 and 1,935.81

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Solution

The fourth proportional to 3,672.45, 5,498.96 and 1,935.81 is: 2,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.45 : 5,498.96 = 1,935.81 : x
  2. Step 2: Convert to fraction form
    3,672.45/5,498.96 = 1,935.81/x
  3. Step 3: Cross multiply
    3,672.45x = 5,498.96 × 1,935.81
  4. Step 4: Simplify right side
    3,672.45x = 10,644,932.08
  5. Step 5: Solve for x
    x = 10,644,932.08/3,672.45
  6. Step 6: Final answer
    x = 2,898.59

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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.