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Finding the Fourth Proportional to 3,927.15, 5,419.02 and 2,249.01

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Solution

The fourth proportional to 3,927.15, 5,419.02 and 2,249.01 is: 3,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.15 : 5,419.02 = 2,249.01 : x
  2. Step 2: Convert to fraction form
    3,927.15/5,419.02 = 2,249.01/x
  3. Step 3: Cross multiply
    3,927.15x = 5,419.02 × 2,249.01
  4. Step 4: Simplify right side
    3,927.15x = 12,187,430.17
  5. Step 5: Solve for x
    x = 12,187,430.17/3,927.15
  6. Step 6: Final answer
    x = 3,103.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.