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Finding the Fourth Proportional to 3,689.98, 5,537.46 and 1,498.78

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Solution

The fourth proportional to 3,689.98, 5,537.46 and 1,498.78 is: 2,249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.98 : 5,537.46 = 1,498.78 : x
  2. Step 2: Convert to fraction form
    3,689.98/5,537.46 = 1,498.78/x
  3. Step 3: Cross multiply
    3,689.98x = 5,537.46 × 1,498.78
  4. Step 4: Simplify right side
    3,689.98x = 8,299,434.30
  5. Step 5: Solve for x
    x = 8,299,434.30/3,689.98
  6. Step 6: Final answer
    x = 2,249.18

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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.