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Finding the Fourth Proportional to 3,697, 5,548.14 and 2,054.86

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Solution

The fourth proportional to 3,697, 5,548.14 and 2,054.86 is: 3,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697 : 5,548.14 = 2,054.86 : x
  2. Step 2: Convert to fraction form
    3,697/5,548.14 = 2,054.86/x
  3. Step 3: Cross multiply
    3,697x = 5,548.14 × 2,054.86
  4. Step 4: Simplify right side
    3,697x = 11,400,650.96
  5. Step 5: Solve for x
    x = 11,400,650.96/3,697
  6. Step 6: Final answer
    x = 3,083.76

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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.