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Finding the Fourth Proportional to 5,249.98, 7,874 and 1,740.03

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Solution

The fourth proportional to 5,249.98, 7,874 and 1,740.03 is: 2,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.98 : 7,874 = 1,740.03 : x
  2. Step 2: Convert to fraction form
    5,249.98/7,874 = 1,740.03/x
  3. Step 3: Cross multiply
    5,249.98x = 7,874 × 1,740.03
  4. Step 4: Simplify right side
    5,249.98x = 13,700,996.22
  5. Step 5: Solve for x
    x = 13,700,996.22/5,249.98
  6. Step 6: Final answer
    x = 2,609.72

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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.