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Finding the Fourth Proportional to 3,694.46, 5,537.43 and 1,500.80

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Solution

The fourth proportional to 3,694.46, 5,537.43 and 1,500.80 is: 2,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.46 : 5,537.43 = 1,500.80 : x
  2. Step 2: Convert to fraction form
    3,694.46/5,537.43 = 1,500.80/x
  3. Step 3: Cross multiply
    3,694.46x = 5,537.43 × 1,500.80
  4. Step 4: Simplify right side
    3,694.46x = 8,310,547.26
  5. Step 5: Solve for x
    x = 8,310,547.26/3,694.46
  6. Step 6: Final answer
    x = 2,249.47

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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.